Decomposition of A080218 - 2D graph - First 500 terms
Monotonically increasing sequence such that every positive integer n appears if and only if d(n) doesn't (d(n)=number of divisors of n, A000005).
n |
a080218 |
weight k(n) |
level L(n) |
jump |
1 |
3 |
0 |
0 |
2 |
2 |
5 |
2 |
2 |
1 |
3 |
6 |
5 |
1 |
1 |
4 |
7 |
2 |
3 |
1 |
5 |
8 |
3 |
2 |
2 |
6 |
10 |
3 |
3 |
1 |
7 |
11 |
3 |
3 |
2 |
8 |
13 |
2 |
6 |
1 |
9 |
14 |
13 |
1 |
1 |
10 |
15 |
13 |
1 |
2 |
11 |
17 |
3 |
5 |
2 |
12 |
19 |
17 |
1 |
2 |
13 |
21 |
2 |
10 |
1 |
14 |
22 |
3 |
7 |
1 |
15 |
23 |
4 |
5 |
3 |
16 |
26 |
5 |
5 |
1 |
17 |
27 |
5 |
5 |
2 |
18 |
29 |
3 |
9 |
2 |
19 |
31 |
29 |
1 |
2 |
20 |
33 |
2 |
16 |
1 |
21 |
34 |
3 |
11 |
1 |
22 |
35 |
2 |
17 |
1 |
23 |
36 |
5 |
7 |
1 |
24 |
37 |
2 |
18 |
1 |
25 |
38 |
37 |
1 |
1 |
26 |
39 |
37 |
1 |
2 |
27 |
41 |
3 |
13 |
2 |
28 |
43 |
4 |
10 |
3 |
29 |
46 |
3 |
15 |
1 |
30 |
47 |
43 |
1 |
4 |
31 |
51 |
7 |
7 |
2 |
32 |
53 |
3 |
17 |
2 |
33 |
55 |
53 |
1 |
2 |
34 |
57 |
2 |
28 |
1 |
35 |
58 |
3 |
19 |
1 |
36 |
59 |
2 |
29 |
1 |
37 |
60 |
59 |
1 |
1 |
38 |
61 |
2 |
30 |
1 |
39 |
62 |
59 |
1 |
3 |
40 |
65 |
3 |
21 |
2 |
41 |
67 |
5 |
13 |
2 |
42 |
69 |
67 |
1 |
2 |
43 |
71 |
2 |
35 |
1 |
44 |
72 |
71 |
1 |
1 |
45 |
73 |
2 |
36 |
1 |
46 |
74 |
71 |
1 |
3 |
47 |
77 |
3 |
25 |
2 |
48 |
79 |
4 |
19 |
3 |
49 |
82 |
3 |
27 |
1 |
50 |
83 |
2 |
41 |
1 |
51 |
84 |
83 |
1 |
1 |
52 |
85 |
2 |
42 |
1 |
53 |
86 |
5 |
17 |
1 |
54 |
87 |
5 |
17 |
2 |
55 |
89 |
2 |
44 |
1 |
56 |
90 |
89 |
1 |
1 |
57 |
91 |
89 |
1 |
2 |
58 |
93 |
2 |
46 |
1 |
59 |
94 |
3 |
31 |
1 |
60 |
95 |
2 |
47 |
1 |
61 |
96 |
5 |
19 |
1 |
62 |
97 |
47 |
2 |
3 |
63 |
100 |
3 |
33 |
1 |
64 |
101 |
3 |
33 |
2 |
65 |
103 |
4 |
25 |
3 |
66 |
106 |
3 |
35 |
1 |
67 |
107 |
2 |
53 |
1 |
68 |
108 |
107 |
1 |
1 |
69 |
109 |
107 |
1 |
2 |
70 |
111 |
109 |
1 |
2 |
71 |
113 |
3 |
37 |
2 |
72 |
115 |
4 |
28 |
3 |
73 |
118 |
3 |
39 |
1 |
74 |
119 |
2 |
59 |
1 |
75 |
120 |
59 |
2 |
2 |
76 |
122 |
11 |
11 |
1 |
77 |
123 |
11 |
11 |
2 |
78 |
125 |
2 |
62 |
1 |
79 |
126 |
5 |
25 |
1 |
80 |
127 |
5 |
25 |
2 |
81 |
129 |
127 |
1 |
2 |
82 |
131 |
2 |
65 |
1 |
83 |
132 |
131 |
1 |
1 |
84 |
133 |
2 |
66 |
1 |
85 |
134 |
131 |
1 |
3 |
86 |
137 |
3 |
45 |
2 |
87 |
139 |
2 |
69 |
1 |
88 |
140 |
139 |
1 |
1 |
89 |
141 |
2 |
70 |
1 |
90 |
142 |
3 |
47 |
1 |
91 |
143 |
3 |
47 |
2 |
92 |
145 |
2 |
72 |
1 |
93 |
146 |
11 |
13 |
3 |
94 |
149 |
2 |
74 |
1 |
95 |
150 |
149 |
1 |
1 |
96 |
151 |
7 |
21 |
4 |
97 |
155 |
2 |
77 |
1 |
98 |
156 |
5 |
31 |
1 |
99 |
157 |
2 |
78 |
1 |
100 |
158 |
157 |
1 |
1 |
101 |
159 |
2 |
79 |
1 |
102 |
160 |
3 |
53 |
1 |
103 |
161 |
3 |
53 |
2 |
104 |
163 |
4 |
40 |
3 |
105 |
166 |
3 |
55 |
1 |
106 |
167 |
2 |
83 |
1 |
107 |
168 |
163 |
1 |
5 |
108 |
173 |
13 |
13 |
4 |
109 |
177 |
2 |
88 |
1 |
110 |
178 |
3 |
59 |
1 |
111 |
179 |
2 |
89 |
1 |
112 |
180 |
179 |
1 |
1 |
113 |
181 |
179 |
1 |
2 |
114 |
183 |
181 |
1 |
2 |
115 |
185 |
3 |
61 |
2 |
116 |
187 |
61 |
3 |
4 |
117 |
191 |
3 |
63 |
2 |
118 |
193 |
2 |
96 |
1 |
119 |
194 |
3 |
64 |
2 |
120 |
196 |
3 |
65 |
1 |
121 |
197 |
2 |
98 |
1 |
122 |
198 |
197 |
1 |
1 |
123 |
199 |
2 |
99 |
1 |
124 |
200 |
199 |
1 |
1 |
125 |
201 |
2 |
100 |
1 |
126 |
202 |
3 |
67 |
1 |
127 |
203 |
2 |
101 |
1 |
128 |
204 |
7 |
29 |
1 |
129 |
205 |
2 |
102 |
1 |
130 |
206 |
7 |
29 |
3 |
131 |
209 |
2 |
104 |
1 |
132 |
210 |
11 |
19 |
1 |
133 |
211 |
11 |
19 |
2 |
134 |
213 |
2 |
106 |
1 |
135 |
214 |
3 |
71 |
1 |
136 |
215 |
2 |
107 |
1 |
137 |
216 |
5 |
43 |
1 |
138 |
217 |
2 |
108 |
1 |
139 |
218 |
7 |
31 |
1 |
140 |
219 |
2 |
109 |
1 |
141 |
220 |
3 |
73 |
1 |
142 |
221 |
3 |
73 |
2 |
143 |
223 |
2 |
111 |
1 |
144 |
224 |
223 |
1 |
1 |
145 |
225 |
2 |
112 |
1 |
146 |
226 |
3 |
75 |
1 |
147 |
227 |
2 |
113 |
1 |
148 |
228 |
227 |
1 |
1 |
149 |
229 |
5 |
45 |
4 |
150 |
233 |
2 |
116 |
1 |
151 |
234 |
233 |
1 |
1 |
152 |
235 |
233 |
1 |
2 |
153 |
237 |
5 |
47 |
2 |
154 |
239 |
2 |
119 |
1 |
155 |
240 |
239 |
1 |
1 |
156 |
241 |
47 |
5 |
6 |
157 |
247 |
5 |
49 |
2 |
158 |
249 |
13 |
19 |
2 |
159 |
251 |
2 |
125 |
1 |
160 |
252 |
251 |
1 |
1 |
161 |
253 |
2 |
126 |
1 |
162 |
254 |
3 |
84 |
2 |
163 |
256 |
3 |
85 |
1 |
164 |
257 |
3 |
85 |
2 |
165 |
259 |
2 |
129 |
1 |
166 |
260 |
3 |
86 |
2 |
167 |
262 |
3 |
87 |
1 |
168 |
263 |
2 |
131 |
1 |
169 |
264 |
263 |
1 |
1 |
170 |
265 |
263 |
1 |
2 |
171 |
267 |
5 |
53 |
2 |
172 |
269 |
2 |
134 |
1 |
173 |
270 |
269 |
1 |
1 |
174 |
271 |
4 |
67 |
3 |
175 |
274 |
4 |
68 |
2 |
176 |
276 |
5 |
55 |
1 |
177 |
277 |
2 |
138 |
1 |
178 |
278 |
3 |
92 |
2 |
179 |
280 |
3 |
93 |
1 |
180 |
281 |
3 |
93 |
2 |
181 |
283 |
9 |
31 |
4 |
182 |
287 |
2 |
143 |
1 |
183 |
288 |
5 |
57 |
3 |
184 |
291 |
17 |
17 |
2 |
185 |
293 |
2 |
146 |
1 |
186 |
294 |
293 |
1 |
1 |
187 |
295 |
4 |
73 |
3 |
188 |
298 |
3 |
99 |
1 |
189 |
299 |
2 |
149 |
1 |
190 |
300 |
13 |
23 |
1 |
191 |
301 |
2 |
150 |
1 |
192 |
302 |
7 |
43 |
1 |
193 |
303 |
7 |
43 |
2 |
194 |
305 |
2 |
152 |
1 |
195 |
306 |
5 |
61 |
1 |
196 |
307 |
2 |
153 |
1 |
197 |
308 |
307 |
1 |
1 |
198 |
309 |
307 |
1 |
2 |
199 |
311 |
2 |
155 |
1 |
200 |
312 |
311 |
1 |
1 |
201 |
313 |
2 |
156 |
1 |
202 |
314 |
313 |
1 |
1 |
203 |
315 |
313 |
1 |
2 |
204 |
317 |
3 |
105 |
2 |
205 |
319 |
317 |
1 |
2 |
206 |
321 |
11 |
29 |
2 |
207 |
323 |
4 |
80 |
3 |
208 |
326 |
5 |
65 |
1 |
209 |
327 |
5 |
65 |
2 |
210 |
329 |
2 |
164 |
1 |
211 |
330 |
7 |
47 |
1 |
212 |
331 |
4 |
82 |
3 |
213 |
334 |
3 |
111 |
1 |
214 |
335 |
2 |
167 |
1 |
215 |
336 |
5 |
67 |
1 |
216 |
337 |
5 |
67 |
2 |
217 |
339 |
2 |
169 |
1 |
218 |
340 |
3 |
113 |
1 |
219 |
341 |
2 |
170 |
1 |
220 |
342 |
11 |
31 |
1 |
221 |
343 |
4 |
85 |
3 |
222 |
346 |
3 |
115 |
1 |
223 |
347 |
2 |
173 |
1 |
224 |
348 |
347 |
1 |
1 |
225 |
349 |
2 |
174 |
1 |
226 |
350 |
3 |
116 |
2 |
227 |
352 |
3 |
117 |
1 |
228 |
353 |
3 |
117 |
2 |
229 |
355 |
4 |
88 |
3 |
230 |
358 |
3 |
119 |
1 |
231 |
359 |
2 |
179 |
1 |
232 |
360 |
179 |
2 |
2 |
233 |
362 |
3 |
120 |
2 |
234 |
364 |
3 |
121 |
1 |
235 |
365 |
3 |
121 |
2 |
236 |
367 |
11 |
33 |
4 |
237 |
371 |
2 |
185 |
1 |
238 |
372 |
7 |
53 |
1 |
239 |
373 |
9 |
41 |
4 |
240 |
377 |
2 |
188 |
1 |
241 |
378 |
13 |
29 |
1 |
242 |
379 |
2 |
189 |
1 |
243 |
380 |
379 |
1 |
1 |
244 |
381 |
2 |
190 |
1 |
245 |
382 |
3 |
127 |
1 |
246 |
383 |
2 |
191 |
1 |
247 |
384 |
191 |
2 |
2 |
248 |
386 |
383 |
1 |
3 |
249 |
389 |
2 |
194 |
1 |
250 |
390 |
389 |
1 |
1 |
251 |
391 |
2 |
195 |
1 |
252 |
392 |
17 |
23 |
1 |
253 |
393 |
2 |
196 |
1 |
254 |
394 |
3 |
131 |
1 |
255 |
395 |
2 |
197 |
1 |
256 |
396 |
5 |
79 |
1 |
257 |
397 |
2 |
198 |
1 |
258 |
398 |
5 |
79 |
3 |
259 |
401 |
3 |
133 |
2 |
260 |
403 |
7 |
57 |
4 |
261 |
407 |
2 |
203 |
1 |
262 |
408 |
11 |
37 |
1 |
263 |
409 |
11 |
37 |
2 |
264 |
411 |
409 |
1 |
2 |
265 |
413 |
2 |
206 |
1 |
266 |
414 |
7 |
59 |
1 |
267 |
415 |
2 |
207 |
1 |
268 |
416 |
5 |
83 |
1 |
269 |
417 |
5 |
83 |
2 |
270 |
419 |
2 |
209 |
1 |
271 |
420 |
419 |
1 |
1 |
272 |
421 |
2 |
210 |
1 |
273 |
422 |
139 |
3 |
5 |
274 |
427 |
9 |
47 |
4 |
275 |
431 |
2 |
215 |
1 |
276 |
432 |
431 |
1 |
1 |
277 |
433 |
11 |
39 |
4 |
278 |
437 |
3 |
145 |
2 |
279 |
439 |
2 |
219 |
1 |
280 |
440 |
439 |
1 |
1 |
281 |
441 |
439 |
1 |
2 |
282 |
443 |
2 |
221 |
1 |
283 |
444 |
443 |
1 |
1 |
284 |
445 |
2 |
222 |
1 |
285 |
446 |
5 |
89 |
1 |
286 |
447 |
5 |
89 |
2 |
287 |
449 |
2 |
224 |
1 |
288 |
450 |
449 |
1 |
1 |
289 |
451 |
449 |
1 |
2 |
290 |
453 |
2 |
226 |
1 |
291 |
454 |
4 |
113 |
2 |
292 |
456 |
5 |
91 |
1 |
293 |
457 |
2 |
228 |
1 |
294 |
458 |
3 |
152 |
2 |
295 |
460 |
3 |
153 |
1 |
296 |
461 |
2 |
230 |
1 |
297 |
462 |
461 |
1 |
1 |
298 |
463 |
4 |
115 |
3 |
299 |
466 |
3 |
155 |
1 |
300 |
467 |
2 |
233 |
1 |
301 |
468 |
467 |
1 |
1 |
302 |
469 |
467 |
1 |
2 |
303 |
471 |
7 |
67 |
2 |
304 |
473 |
5 |
94 |
3 |
305 |
476 |
3 |
158 |
2 |
306 |
478 |
3 |
159 |
1 |
307 |
479 |
2 |
239 |
1 |
308 |
480 |
479 |
1 |
1 |
309 |
481 |
2 |
240 |
1 |
310 |
482 |
3 |
160 |
2 |
311 |
484 |
3 |
161 |
1 |
312 |
485 |
2 |
242 |
1 |
313 |
486 |
5 |
97 |
1 |
314 |
487 |
5 |
97 |
2 |
315 |
489 |
2 |
244 |
1 |
316 |
490 |
3 |
163 |
1 |
317 |
491 |
2 |
245 |
1 |
318 |
492 |
491 |
1 |
1 |
319 |
493 |
491 |
1 |
2 |
320 |
495 |
17 |
29 |
2 |
321 |
497 |
3 |
165 |
2 |
322 |
499 |
2 |
249 |
1 |
323 |
500 |
499 |
1 |
1 |
324 |
501 |
2 |
250 |
1 |
325 |
502 |
3 |
167 |
1 |
326 |
503 |
2 |
251 |
1 |
327 |
504 |
503 |
1 |
1 |
328 |
505 |
167 |
3 |
4 |
329 |
509 |
2 |
254 |
1 |
330 |
510 |
509 |
1 |
1 |
331 |
511 |
4 |
127 |
3 |
332 |
514 |
3 |
171 |
1 |
333 |
515 |
2 |
257 |
1 |
334 |
516 |
5 |
103 |
1 |
335 |
517 |
5 |
103 |
2 |
336 |
519 |
2 |
259 |
1 |
337 |
520 |
3 |
173 |
1 |
338 |
521 |
2 |
260 |
1 |
339 |
522 |
521 |
1 |
1 |
340 |
523 |
521 |
1 |
2 |
341 |
525 |
2 |
262 |
1 |
342 |
526 |
3 |
175 |
1 |
343 |
527 |
2 |
263 |
1 |
344 |
528 |
131 |
4 |
4 |
345 |
532 |
3 |
177 |
1 |
346 |
533 |
3 |
177 |
2 |
347 |
535 |
13 |
41 |
2 |
348 |
537 |
2 |
268 |
1 |
349 |
538 |
4 |
134 |
2 |
350 |
540 |
7 |
77 |
1 |
351 |
541 |
2 |
270 |
1 |
352 |
542 |
541 |
1 |
1 |
353 |
543 |
2 |
271 |
1 |
354 |
544 |
3 |
181 |
1 |
355 |
545 |
2 |
272 |
1 |
356 |
546 |
5 |
109 |
1 |
357 |
547 |
4 |
136 |
3 |
358 |
550 |
3 |
183 |
1 |
359 |
551 |
2 |
275 |
1 |
360 |
552 |
19 |
29 |
1 |
361 |
553 |
2 |
276 |
1 |
362 |
554 |
19 |
29 |
3 |
363 |
557 |
2 |
278 |
1 |
364 |
558 |
557 |
1 |
1 |
365 |
559 |
2 |
279 |
1 |
366 |
560 |
3 |
186 |
2 |
367 |
562 |
3 |
187 |
1 |
368 |
563 |
2 |
281 |
1 |
369 |
564 |
563 |
1 |
1 |
370 |
565 |
2 |
282 |
1 |
371 |
566 |
563 |
1 |
3 |
372 |
569 |
2 |
284 |
1 |
373 |
570 |
569 |
1 |
1 |
374 |
571 |
2 |
285 |
1 |
375 |
572 |
571 |
1 |
1 |
376 |
573 |
569 |
1 |
4 |
377 |
577 |
5 |
115 |
2 |
378 |
579 |
2 |
289 |
1 |
379 |
580 |
3 |
193 |
1 |
380 |
581 |
3 |
193 |
2 |
381 |
583 |
7 |
83 |
2 |
382 |
585 |
2 |
292 |
1 |
383 |
586 |
3 |
195 |
1 |
384 |
587 |
2 |
293 |
1 |
385 |
588 |
587 |
1 |
1 |
386 |
589 |
587 |
1 |
2 |
387 |
591 |
19 |
31 |
2 |
388 |
593 |
2 |
296 |
1 |
389 |
594 |
197 |
3 |
3 |
390 |
597 |
5 |
119 |
2 |
391 |
599 |
2 |
299 |
1 |
392 |
600 |
599 |
1 |
1 |
393 |
601 |
7 |
85 |
6 |
394 |
607 |
2 |
303 |
1 |
395 |
608 |
5 |
121 |
3 |
396 |
611 |
2 |
305 |
1 |
397 |
612 |
13 |
47 |
1 |
398 |
613 |
2 |
306 |
1 |
399 |
614 |
3 |
204 |
2 |
400 |
616 |
3 |
205 |
1 |
401 |
617 |
3 |
205 |
2 |
402 |
619 |
2 |
309 |
1 |
403 |
620 |
3 |
206 |
2 |
404 |
622 |
3 |
207 |
1 |
405 |
623 |
2 |
311 |
1 |
406 |
624 |
311 |
2 |
2 |
407 |
626 |
7 |
89 |
3 |
408 |
629 |
2 |
314 |
1 |
409 |
630 |
17 |
37 |
1 |
410 |
631 |
17 |
37 |
2 |
411 |
633 |
2 |
316 |
1 |
412 |
634 |
3 |
211 |
1 |
413 |
635 |
2 |
317 |
1 |
414 |
636 |
8 |
79 |
4 |
415 |
640 |
3 |
213 |
1 |
416 |
641 |
3 |
213 |
2 |
417 |
643 |
2 |
321 |
1 |
418 |
644 |
641 |
1 |
3 |
419 |
647 |
2 |
323 |
1 |
420 |
648 |
647 |
1 |
1 |
421 |
649 |
2 |
324 |
1 |
422 |
650 |
647 |
1 |
3 |
423 |
653 |
3 |
217 |
2 |
424 |
655 |
7 |
93 |
4 |
425 |
659 |
2 |
329 |
1 |
426 |
660 |
659 |
1 |
1 |
427 |
661 |
2 |
330 |
1 |
428 |
662 |
7 |
94 |
4 |
429 |
666 |
5 |
133 |
1 |
430 |
667 |
5 |
133 |
2 |
431 |
669 |
23 |
29 |
2 |
432 |
671 |
2 |
335 |
1 |
433 |
672 |
11 |
61 |
1 |
434 |
673 |
2 |
336 |
1 |
435 |
674 |
673 |
1 |
1 |
436 |
675 |
2 |
337 |
1 |
437 |
676 |
3 |
225 |
1 |
438 |
677 |
3 |
225 |
2 |
439 |
679 |
2 |
339 |
1 |
440 |
680 |
7 |
97 |
1 |
441 |
681 |
7 |
97 |
2 |
442 |
683 |
2 |
341 |
1 |
443 |
684 |
683 |
1 |
1 |
444 |
685 |
683 |
1 |
2 |
445 |
687 |
5 |
137 |
2 |
446 |
689 |
2 |
344 |
1 |
447 |
690 |
13 |
53 |
1 |
448 |
691 |
13 |
53 |
2 |
449 |
693 |
2 |
346 |
1 |
450 |
694 |
3 |
231 |
1 |
451 |
695 |
2 |
347 |
1 |
452 |
696 |
5 |
139 |
1 |
453 |
697 |
2 |
348 |
1 |
454 |
698 |
17 |
41 |
1 |
455 |
699 |
2 |
349 |
1 |
456 |
700 |
3 |
233 |
1 |
457 |
701 |
2 |
350 |
1 |
458 |
702 |
701 |
1 |
1 |
459 |
703 |
4 |
175 |
3 |
460 |
706 |
3 |
235 |
1 |
461 |
707 |
2 |
353 |
1 |
462 |
708 |
7 |
101 |
1 |
463 |
709 |
5 |
141 |
4 |
464 |
713 |
2 |
356 |
1 |
465 |
714 |
9 |
79 |
3 |
466 |
717 |
2 |
358 |
1 |
467 |
718 |
3 |
239 |
1 |
468 |
719 |
2 |
359 |
1 |
469 |
720 |
719 |
1 |
1 |
470 |
721 |
719 |
1 |
2 |
471 |
723 |
4 |
180 |
3 |
472 |
726 |
5 |
145 |
1 |
473 |
727 |
2 |
363 |
1 |
474 |
728 |
5 |
145 |
3 |
475 |
731 |
2 |
365 |
1 |
476 |
732 |
17 |
43 |
1 |
477 |
733 |
2 |
366 |
1 |
478 |
734 |
733 |
1 |
1 |
479 |
735 |
2 |
367 |
1 |
480 |
736 |
3 |
245 |
1 |
481 |
737 |
2 |
368 |
1 |
482 |
738 |
11 |
67 |
1 |
483 |
739 |
2 |
369 |
1 |
484 |
740 |
11 |
67 |
3 |
485 |
743 |
2 |
371 |
1 |
486 |
744 |
743 |
1 |
1 |
487 |
745 |
2 |
372 |
1 |
488 |
746 |
3 |
248 |
2 |
489 |
748 |
3 |
249 |
1 |
490 |
749 |
2 |
374 |
1 |
491 |
750 |
7 |
107 |
1 |
492 |
751 |
7 |
107 |
2 |
493 |
753 |
751 |
1 |
2 |
494 |
755 |
2 |
377 |
1 |
495 |
756 |
5 |
151 |
1 |
496 |
757 |
2 |
378 |
1 |
497 |
758 |
3 |
252 |
2 |
498 |
760 |
3 |
253 |
1 |
499 |
761 |
3 |
253 |
2 |
500 |
763 |
761 |
1 |
2 |