Decomposition of A123193 - 2D graph - First 500 terms
Natural numbers with number of divisors equal to a Fibonacci number.
n |
a123193 |
weight k(n) |
level L(n) |
jump |
1 |
1 |
0 |
0 |
1 |
2 |
2 |
0 |
0 |
1 |
3 |
3 |
2 |
1 |
1 |
4 |
4 |
3 |
1 |
1 |
5 |
5 |
3 |
1 |
2 |
6 |
7 |
5 |
1 |
2 |
7 |
9 |
7 |
1 |
2 |
8 |
11 |
3 |
3 |
2 |
9 |
13 |
5 |
2 |
3 |
10 |
16 |
3 |
5 |
1 |
11 |
17 |
3 |
5 |
2 |
12 |
19 |
5 |
3 |
4 |
13 |
23 |
2 |
11 |
1 |
14 |
24 |
23 |
1 |
1 |
15 |
25 |
7 |
3 |
4 |
16 |
29 |
2 |
14 |
1 |
17 |
30 |
29 |
1 |
1 |
18 |
31 |
25 |
1 |
6 |
19 |
37 |
17 |
2 |
3 |
20 |
40 |
3 |
13 |
1 |
21 |
41 |
2 |
20 |
1 |
22 |
42 |
41 |
1 |
1 |
23 |
43 |
13 |
3 |
4 |
24 |
47 |
3 |
15 |
2 |
25 |
49 |
5 |
9 |
4 |
26 |
53 |
2 |
26 |
1 |
27 |
54 |
4 |
13 |
2 |
28 |
56 |
53 |
1 |
3 |
29 |
59 |
3 |
19 |
2 |
30 |
61 |
7 |
8 |
5 |
31 |
66 |
5 |
13 |
1 |
32 |
67 |
4 |
16 |
3 |
33 |
70 |
3 |
23 |
1 |
34 |
71 |
3 |
23 |
2 |
35 |
73 |
17 |
4 |
5 |
36 |
78 |
7 |
11 |
1 |
37 |
79 |
7 |
11 |
2 |
38 |
81 |
79 |
1 |
2 |
39 |
83 |
6 |
13 |
5 |
40 |
88 |
3 |
29 |
1 |
41 |
89 |
9 |
9 |
8 |
42 |
97 |
31 |
3 |
4 |
43 |
101 |
2 |
50 |
1 |
44 |
102 |
101 |
1 |
1 |
45 |
103 |
2 |
51 |
1 |
46 |
104 |
103 |
1 |
1 |
47 |
105 |
103 |
1 |
2 |
48 |
107 |
3 |
35 |
2 |
49 |
109 |
2 |
54 |
1 |
50 |
110 |
107 |
1 |
3 |
51 |
113 |
2 |
56 |
1 |
52 |
114 |
107 |
1 |
7 |
53 |
121 |
23 |
5 |
6 |
54 |
127 |
2 |
63 |
1 |
55 |
128 |
3 |
42 |
2 |
56 |
130 |
3 |
43 |
1 |
57 |
131 |
127 |
1 |
4 |
58 |
135 |
2 |
67 |
1 |
59 |
136 |
3 |
45 |
1 |
60 |
137 |
2 |
68 |
1 |
61 |
138 |
137 |
1 |
1 |
62 |
139 |
43 |
3 |
10 |
63 |
149 |
3 |
49 |
2 |
64 |
151 |
2 |
75 |
1 |
65 |
152 |
3 |
50 |
2 |
66 |
154 |
151 |
1 |
3 |
67 |
157 |
151 |
1 |
6 |
68 |
163 |
7 |
23 |
2 |
69 |
165 |
163 |
1 |
2 |
70 |
167 |
3 |
55 |
2 |
71 |
169 |
2 |
84 |
1 |
72 |
170 |
167 |
1 |
3 |
73 |
173 |
2 |
86 |
1 |
74 |
174 |
13 |
13 |
5 |
75 |
179 |
3 |
59 |
2 |
76 |
181 |
2 |
90 |
1 |
77 |
182 |
3 |
60 |
2 |
78 |
184 |
7 |
26 |
2 |
79 |
186 |
61 |
3 |
3 |
80 |
189 |
2 |
94 |
1 |
81 |
190 |
3 |
63 |
1 |
82 |
191 |
3 |
63 |
2 |
83 |
193 |
191 |
1 |
2 |
84 |
195 |
193 |
1 |
2 |
85 |
197 |
3 |
65 |
2 |
86 |
199 |
17 |
11 |
12 |
87 |
211 |
20 |
10 |
11 |
88 |
222 |
13 |
17 |
1 |
89 |
223 |
73 |
3 |
4 |
90 |
227 |
3 |
75 |
2 |
91 |
229 |
2 |
114 |
1 |
92 |
230 |
229 |
1 |
1 |
93 |
231 |
2 |
115 |
1 |
94 |
232 |
3 |
77 |
1 |
95 |
233 |
6 |
38 |
5 |
96 |
238 |
3 |
79 |
1 |
97 |
239 |
3 |
79 |
2 |
98 |
241 |
59 |
4 |
5 |
99 |
246 |
4 |
61 |
2 |
100 |
248 |
3 |
82 |
2 |
101 |
250 |
3 |
83 |
1 |
102 |
251 |
13 |
19 |
4 |
103 |
255 |
11 |
23 |
2 |
104 |
257 |
2 |
128 |
1 |
105 |
258 |
11 |
23 |
5 |
106 |
263 |
4 |
65 |
3 |
107 |
266 |
263 |
1 |
3 |
108 |
269 |
3 |
89 |
2 |
109 |
271 |
269 |
1 |
2 |
110 |
273 |
269 |
1 |
4 |
111 |
277 |
7 |
39 |
4 |
112 |
281 |
2 |
140 |
1 |
113 |
282 |
281 |
1 |
1 |
114 |
283 |
281 |
1 |
2 |
115 |
285 |
2 |
142 |
1 |
116 |
286 |
283 |
1 |
3 |
117 |
289 |
2 |
144 |
1 |
118 |
290 |
7 |
41 |
3 |
119 |
293 |
5 |
58 |
3 |
120 |
296 |
5 |
59 |
1 |
121 |
297 |
41 |
7 |
10 |
122 |
307 |
4 |
76 |
3 |
123 |
310 |
3 |
103 |
1 |
124 |
311 |
3 |
103 |
2 |
125 |
313 |
103 |
3 |
4 |
126 |
317 |
2 |
158 |
1 |
127 |
318 |
157 |
2 |
4 |
128 |
322 |
79 |
4 |
6 |
129 |
328 |
5 |
65 |
3 |
130 |
331 |
13 |
25 |
6 |
131 |
337 |
10 |
33 |
7 |
132 |
344 |
7 |
49 |
1 |
133 |
345 |
7 |
49 |
2 |
134 |
347 |
3 |
115 |
2 |
135 |
349 |
347 |
1 |
2 |
136 |
351 |
349 |
1 |
2 |
137 |
353 |
2 |
176 |
1 |
138 |
354 |
9 |
39 |
3 |
139 |
357 |
5 |
71 |
2 |
140 |
359 |
3 |
119 |
2 |
141 |
361 |
89 |
4 |
5 |
142 |
366 |
5 |
73 |
1 |
143 |
367 |
4 |
91 |
3 |
144 |
370 |
367 |
1 |
3 |
145 |
373 |
2 |
186 |
1 |
146 |
374 |
373 |
1 |
1 |
147 |
375 |
2 |
187 |
1 |
148 |
376 |
373 |
1 |
3 |
149 |
379 |
5 |
75 |
4 |
150 |
383 |
3 |
127 |
2 |
151 |
385 |
127 |
3 |
4 |
152 |
389 |
127 |
3 |
8 |
153 |
397 |
5 |
79 |
2 |
154 |
399 |
397 |
1 |
2 |
155 |
401 |
2 |
200 |
1 |
156 |
402 |
199 |
2 |
4 |
157 |
406 |
13 |
31 |
3 |
158 |
409 |
2 |
204 |
1 |
159 |
410 |
67 |
6 |
8 |
160 |
418 |
3 |
139 |
1 |
161 |
419 |
3 |
139 |
2 |
162 |
421 |
11 |
38 |
3 |
163 |
424 |
211 |
2 |
2 |
164 |
426 |
9 |
47 |
3 |
165 |
429 |
2 |
214 |
1 |
166 |
430 |
3 |
143 |
1 |
167 |
431 |
3 |
143 |
2 |
168 |
433 |
2 |
216 |
1 |
169 |
434 |
433 |
1 |
1 |
170 |
435 |
4 |
108 |
3 |
171 |
438 |
19 |
23 |
1 |
172 |
439 |
4 |
109 |
3 |
173 |
442 |
3 |
147 |
1 |
174 |
443 |
19 |
23 |
6 |
175 |
449 |
443 |
1 |
6 |
176 |
455 |
3 |
151 |
2 |
177 |
457 |
5 |
91 |
2 |
178 |
459 |
457 |
1 |
2 |
179 |
461 |
3 |
153 |
2 |
180 |
463 |
461 |
1 |
2 |
181 |
465 |
463 |
1 |
2 |
182 |
467 |
4 |
116 |
3 |
183 |
470 |
3 |
156 |
2 |
184 |
472 |
5 |
94 |
2 |
185 |
474 |
7 |
67 |
5 |
186 |
479 |
5 |
95 |
4 |
187 |
483 |
479 |
1 |
4 |
188 |
487 |
2 |
243 |
1 |
189 |
488 |
5 |
97 |
3 |
190 |
491 |
4 |
122 |
3 |
191 |
494 |
5 |
98 |
4 |
192 |
498 |
7 |
71 |
1 |
193 |
499 |
5 |
99 |
4 |
194 |
503 |
4 |
125 |
3 |
195 |
506 |
503 |
1 |
3 |
196 |
509 |
5 |
101 |
4 |
197 |
513 |
127 |
4 |
5 |
198 |
518 |
5 |
103 |
3 |
199 |
521 |
3 |
173 |
2 |
200 |
523 |
11 |
47 |
6 |
201 |
529 |
2 |
264 |
1 |
202 |
530 |
263 |
2 |
4 |
203 |
534 |
4 |
133 |
2 |
204 |
536 |
9 |
59 |
5 |
205 |
541 |
107 |
5 |
6 |
206 |
547 |
11 |
49 |
8 |
207 |
555 |
7 |
79 |
2 |
208 |
557 |
7 |
79 |
4 |
209 |
561 |
13 |
43 |
2 |
210 |
563 |
6 |
93 |
5 |
211 |
568 |
3 |
189 |
1 |
212 |
569 |
3 |
189 |
2 |
213 |
571 |
4 |
142 |
3 |
214 |
574 |
4 |
143 |
2 |
215 |
576 |
5 |
115 |
1 |
216 |
577 |
11 |
52 |
5 |
217 |
582 |
4 |
145 |
2 |
218 |
584 |
7 |
83 |
3 |
219 |
587 |
4 |
146 |
3 |
220 |
590 |
587 |
1 |
3 |
221 |
593 |
3 |
197 |
2 |
222 |
595 |
4 |
148 |
3 |
223 |
598 |
3 |
199 |
1 |
224 |
599 |
3 |
199 |
2 |
225 |
601 |
2 |
300 |
1 |
226 |
602 |
13 |
46 |
4 |
227 |
606 |
5 |
121 |
1 |
228 |
607 |
5 |
121 |
2 |
229 |
609 |
2 |
304 |
1 |
230 |
610 |
607 |
1 |
3 |
231 |
613 |
13 |
47 |
2 |
232 |
615 |
613 |
1 |
2 |
233 |
617 |
2 |
308 |
1 |
234 |
618 |
617 |
1 |
1 |
235 |
619 |
617 |
1 |
2 |
236 |
621 |
617 |
1 |
4 |
237 |
625 |
7 |
89 |
2 |
238 |
627 |
7 |
89 |
4 |
239 |
631 |
2 |
315 |
1 |
240 |
632 |
313 |
2 |
6 |
241 |
638 |
5 |
127 |
3 |
242 |
641 |
2 |
320 |
1 |
243 |
642 |
641 |
1 |
1 |
244 |
643 |
641 |
1 |
2 |
245 |
645 |
2 |
322 |
1 |
246 |
646 |
3 |
215 |
1 |
247 |
647 |
643 |
1 |
4 |
248 |
651 |
11 |
59 |
2 |
249 |
653 |
2 |
326 |
1 |
250 |
654 |
5 |
130 |
4 |
251 |
658 |
3 |
219 |
1 |
252 |
659 |
3 |
219 |
2 |
253 |
661 |
659 |
1 |
2 |
254 |
663 |
2 |
331 |
1 |
255 |
664 |
3 |
221 |
1 |
256 |
665 |
6 |
110 |
5 |
257 |
670 |
23 |
29 |
3 |
258 |
673 |
223 |
3 |
4 |
259 |
677 |
2 |
338 |
1 |
260 |
678 |
337 |
2 |
4 |
261 |
682 |
3 |
227 |
1 |
262 |
683 |
4 |
170 |
3 |
263 |
686 |
227 |
3 |
5 |
264 |
691 |
227 |
3 |
10 |
265 |
701 |
17 |
41 |
4 |
266 |
705 |
701 |
1 |
4 |
267 |
709 |
2 |
354 |
1 |
268 |
710 |
3 |
236 |
2 |
269 |
712 |
709 |
1 |
3 |
270 |
715 |
9 |
79 |
4 |
271 |
719 |
9 |
79 |
8 |
272 |
727 |
4 |
181 |
3 |
273 |
730 |
727 |
1 |
3 |
274 |
733 |
727 |
1 |
6 |
275 |
739 |
11 |
67 |
2 |
276 |
741 |
2 |
370 |
1 |
277 |
742 |
3 |
247 |
1 |
278 |
743 |
15 |
49 |
8 |
279 |
751 |
4 |
187 |
3 |
280 |
754 |
751 |
1 |
3 |
281 |
757 |
5 |
151 |
2 |
282 |
759 |
757 |
1 |
2 |
283 |
761 |
2 |
380 |
1 |
284 |
762 |
151 |
5 |
7 |
285 |
769 |
5 |
153 |
4 |
286 |
773 |
5 |
154 |
3 |
287 |
776 |
5 |
155 |
1 |
288 |
777 |
193 |
4 |
5 |
289 |
782 |
11 |
71 |
1 |
290 |
783 |
4 |
195 |
3 |
291 |
786 |
5 |
157 |
1 |
292 |
787 |
4 |
196 |
3 |
293 |
790 |
157 |
5 |
5 |
294 |
795 |
13 |
61 |
2 |
295 |
797 |
263 |
3 |
8 |
296 |
805 |
2 |
402 |
1 |
297 |
806 |
3 |
268 |
2 |
298 |
808 |
3 |
269 |
1 |
299 |
809 |
3 |
269 |
2 |
300 |
811 |
4 |
202 |
3 |
301 |
814 |
269 |
3 |
7 |
302 |
821 |
2 |
410 |
1 |
303 |
822 |
821 |
1 |
1 |
304 |
823 |
2 |
411 |
1 |
305 |
824 |
3 |
274 |
2 |
306 |
826 |
3 |
275 |
1 |
307 |
827 |
3 |
275 |
2 |
308 |
829 |
2 |
414 |
1 |
309 |
830 |
7 |
118 |
4 |
310 |
834 |
277 |
3 |
3 |
311 |
837 |
5 |
167 |
2 |
312 |
839 |
3 |
279 |
2 |
313 |
841 |
829 |
1 |
12 |
314 |
853 |
2 |
426 |
1 |
315 |
854 |
3 |
284 |
2 |
316 |
856 |
3 |
285 |
1 |
317 |
857 |
3 |
285 |
2 |
318 |
859 |
857 |
1 |
2 |
319 |
861 |
859 |
1 |
2 |
320 |
863 |
14 |
61 |
9 |
321 |
872 |
3 |
290 |
2 |
322 |
874 |
3 |
291 |
1 |
323 |
875 |
3 |
291 |
2 |
324 |
877 |
9 |
97 |
4 |
325 |
881 |
3 |
293 |
2 |
326 |
883 |
881 |
1 |
2 |
327 |
885 |
883 |
1 |
2 |
328 |
887 |
4 |
221 |
3 |
329 |
890 |
443 |
2 |
4 |
330 |
894 |
9 |
99 |
3 |
331 |
897 |
223 |
4 |
5 |
332 |
902 |
17 |
53 |
1 |
333 |
903 |
2 |
451 |
1 |
334 |
904 |
11 |
82 |
2 |
335 |
906 |
5 |
181 |
1 |
336 |
907 |
7 |
129 |
4 |
337 |
911 |
907 |
1 |
4 |
338 |
915 |
911 |
1 |
4 |
339 |
919 |
101 |
9 |
10 |
340 |
929 |
13 |
71 |
6 |
341 |
935 |
3 |
311 |
2 |
342 |
937 |
2 |
468 |
1 |
343 |
938 |
5 |
187 |
3 |
344 |
941 |
2 |
470 |
1 |
345 |
942 |
7 |
134 |
4 |
346 |
946 |
3 |
315 |
1 |
347 |
947 |
941 |
1 |
6 |
348 |
953 |
13 |
73 |
4 |
349 |
957 |
953 |
1 |
4 |
350 |
961 |
2 |
480 |
1 |
351 |
962 |
11 |
87 |
5 |
352 |
967 |
5 |
193 |
2 |
353 |
969 |
2 |
484 |
1 |
354 |
970 |
3 |
323 |
1 |
355 |
971 |
193 |
5 |
6 |
356 |
977 |
2 |
488 |
1 |
357 |
978 |
7 |
139 |
5 |
358 |
983 |
4 |
245 |
3 |
359 |
986 |
5 |
197 |
1 |
360 |
987 |
983 |
1 |
4 |
361 |
991 |
4 |
247 |
3 |
362 |
994 |
991 |
1 |
3 |
363 |
997 |
5 |
199 |
2 |
364 |
999 |
997 |
1 |
2 |
365 |
1001 |
2 |
500 |
1 |
366 |
1002 |
9 |
111 |
3 |
367 |
1005 |
7 |
143 |
4 |
368 |
1009 |
2 |
504 |
1 |
369 |
1010 |
19 |
53 |
3 |
370 |
1013 |
3 |
337 |
2 |
371 |
1015 |
2 |
507 |
1 |
372 |
1016 |
1013 |
1 |
3 |
373 |
1019 |
3 |
339 |
2 |
374 |
1021 |
2 |
510 |
1 |
375 |
1022 |
1021 |
1 |
1 |
376 |
1023 |
9 |
113 |
6 |
377 |
1029 |
2 |
514 |
1 |
378 |
1030 |
3 |
343 |
1 |
379 |
1031 |
3 |
343 |
2 |
380 |
1033 |
2 |
516 |
1 |
381 |
1034 |
5 |
206 |
4 |
382 |
1038 |
17 |
61 |
1 |
383 |
1039 |
1033 |
1 |
6 |
384 |
1045 |
521 |
2 |
3 |
385 |
1048 |
3 |
349 |
1 |
386 |
1049 |
3 |
349 |
2 |
387 |
1051 |
4 |
262 |
3 |
388 |
1054 |
349 |
3 |
7 |
389 |
1061 |
3 |
353 |
2 |
390 |
1063 |
1061 |
1 |
2 |
391 |
1065 |
2 |
532 |
1 |
392 |
1066 |
1063 |
1 |
3 |
393 |
1069 |
2 |
534 |
1 |
394 |
1070 |
13 |
82 |
4 |
395 |
1074 |
1063 |
1 |
11 |
396 |
1085 |
2 |
542 |
1 |
397 |
1086 |
5 |
217 |
1 |
398 |
1087 |
4 |
271 |
3 |
399 |
1090 |
3 |
363 |
1 |
400 |
1091 |
3 |
363 |
2 |
401 |
1093 |
1091 |
1 |
2 |
402 |
1095 |
2 |
547 |
1 |
403 |
1096 |
3 |
365 |
1 |
404 |
1097 |
6 |
182 |
5 |
405 |
1102 |
3 |
367 |
1 |
406 |
1103 |
3 |
367 |
2 |
407 |
1105 |
2 |
552 |
1 |
408 |
1106 |
5 |
221 |
1 |
409 |
1107 |
5 |
221 |
2 |
410 |
1109 |
7 |
158 |
3 |
411 |
1112 |
11 |
101 |
1 |
412 |
1113 |
1109 |
1 |
4 |
413 |
1117 |
2 |
558 |
1 |
414 |
1118 |
7 |
159 |
5 |
415 |
1123 |
1117 |
1 |
6 |
416 |
1129 |
2 |
564 |
1 |
417 |
1130 |
1129 |
1 |
1 |
418 |
1131 |
18 |
62 |
15 |
419 |
1146 |
7 |
163 |
5 |
420 |
1151 |
3 |
383 |
2 |
421 |
1153 |
7 |
164 |
5 |
422 |
1158 |
5 |
231 |
3 |
423 |
1161 |
2 |
580 |
1 |
424 |
1162 |
3 |
387 |
1 |
425 |
1163 |
4 |
290 |
3 |
426 |
1166 |
9 |
129 |
5 |
427 |
1171 |
7 |
167 |
2 |
428 |
1173 |
8 |
146 |
5 |
429 |
1178 |
5 |
235 |
3 |
430 |
1181 |
2 |
590 |
1 |
431 |
1182 |
9 |
131 |
3 |
432 |
1185 |
7 |
169 |
2 |
433 |
1187 |
6 |
197 |
5 |
434 |
1192 |
3 |
397 |
1 |
435 |
1193 |
2 |
596 |
1 |
436 |
1194 |
1187 |
1 |
7 |
437 |
1201 |
199 |
6 |
7 |
438 |
1208 |
17 |
71 |
1 |
439 |
1209 |
5 |
241 |
4 |
440 |
1213 |
13 |
93 |
4 |
441 |
1217 |
1213 |
1 |
4 |
442 |
1221 |
2 |
610 |
1 |
443 |
1222 |
3 |
407 |
1 |
444 |
1223 |
1217 |
1 |
6 |
445 |
1229 |
3 |
409 |
2 |
446 |
1231 |
409 |
3 |
4 |
447 |
1235 |
3 |
411 |
2 |
448 |
1237 |
5 |
247 |
2 |
449 |
1239 |
9 |
137 |
6 |
450 |
1245 |
2 |
622 |
1 |
451 |
1246 |
11 |
113 |
3 |
452 |
1249 |
9 |
138 |
7 |
453 |
1256 |
3 |
418 |
2 |
454 |
1258 |
3 |
419 |
1 |
455 |
1259 |
7 |
179 |
6 |
456 |
1265 |
2 |
632 |
1 |
457 |
1266 |
421 |
3 |
3 |
458 |
1269 |
2 |
634 |
1 |
459 |
1270 |
421 |
3 |
7 |
460 |
1277 |
3 |
425 |
2 |
461 |
1279 |
1277 |
1 |
2 |
462 |
1281 |
1279 |
1 |
2 |
463 |
1283 |
1277 |
1 |
6 |
464 |
1289 |
3 |
429 |
2 |
465 |
1291 |
9 |
143 |
4 |
466 |
1295 |
3 |
431 |
2 |
467 |
1297 |
2 |
648 |
1 |
468 |
1298 |
5 |
259 |
3 |
469 |
1301 |
3 |
433 |
2 |
470 |
1303 |
2 |
651 |
1 |
471 |
1304 |
1301 |
1 |
3 |
472 |
1307 |
3 |
435 |
2 |
473 |
1309 |
2 |
654 |
1 |
474 |
1310 |
7 |
187 |
1 |
475 |
1311 |
1303 |
1 |
8 |
476 |
1319 |
3 |
439 |
2 |
477 |
1321 |
263 |
5 |
6 |
478 |
1327 |
8 |
165 |
7 |
479 |
1334 |
31 |
43 |
1 |
480 |
1335 |
2 |
667 |
1 |
481 |
1336 |
23 |
58 |
2 |
482 |
1338 |
23 |
58 |
4 |
483 |
1342 |
121 |
11 |
11 |
484 |
1353 |
337 |
4 |
5 |
485 |
1358 |
5 |
271 |
3 |
486 |
1361 |
2 |
680 |
1 |
487 |
1362 |
23 |
59 |
5 |
488 |
1367 |
3 |
455 |
2 |
489 |
1369 |
2 |
684 |
1 |
490 |
1370 |
1367 |
1 |
3 |
491 |
1373 |
2 |
686 |
1 |
492 |
1374 |
1373 |
1 |
1 |
493 |
1375 |
4 |
343 |
3 |
494 |
1378 |
5 |
275 |
3 |
495 |
1381 |
13 |
106 |
3 |
496 |
1384 |
13 |
106 |
6 |
497 |
1390 |
6 |
231 |
4 |
498 |
1394 |
5 |
278 |
4 |
499 |
1398 |
11 |
127 |
1 |
500 |
1399 |
8 |
174 |
7 |