Decomposition of A057165 - 2D graph - First 500 terms
Addition steps in Recamán's sequence A005132.
n |
a057165 |
weight k(n) |
level L(n) |
jump |
1 |
1 |
0 |
0 |
1 |
2 |
2 |
0 |
0 |
1 |
3 |
3 |
0 |
0 |
2 |
4 |
5 |
2 |
2 |
1 |
5 |
6 |
5 |
1 |
1 |
6 |
7 |
5 |
1 |
2 |
7 |
9 |
7 |
1 |
2 |
8 |
11 |
3 |
3 |
2 |
9 |
13 |
11 |
1 |
2 |
10 |
15 |
13 |
1 |
2 |
11 |
17 |
2 |
8 |
1 |
12 |
18 |
17 |
1 |
1 |
13 |
19 |
17 |
1 |
2 |
14 |
21 |
6 |
3 |
3 |
15 |
24 |
11 |
2 |
2 |
16 |
26 |
3 |
8 |
2 |
17 |
28 |
13 |
2 |
2 |
18 |
30 |
4 |
7 |
2 |
19 |
32 |
31 |
1 |
1 |
20 |
33 |
2 |
16 |
1 |
21 |
34 |
4 |
8 |
2 |
22 |
36 |
11 |
3 |
3 |
23 |
39 |
37 |
1 |
2 |
24 |
41 |
3 |
13 |
2 |
25 |
43 |
41 |
1 |
2 |
26 |
45 |
43 |
1 |
2 |
27 |
47 |
3 |
15 |
2 |
28 |
49 |
47 |
1 |
2 |
29 |
51 |
7 |
7 |
2 |
30 |
53 |
3 |
17 |
2 |
31 |
55 |
53 |
1 |
2 |
32 |
57 |
5 |
11 |
2 |
33 |
59 |
3 |
19 |
2 |
34 |
61 |
59 |
1 |
2 |
35 |
63 |
61 |
1 |
2 |
36 |
65 |
2 |
32 |
1 |
37 |
66 |
5 |
13 |
1 |
38 |
67 |
5 |
13 |
2 |
39 |
69 |
67 |
1 |
2 |
40 |
71 |
3 |
23 |
2 |
41 |
73 |
71 |
1 |
2 |
42 |
75 |
4 |
18 |
3 |
43 |
78 |
4 |
19 |
2 |
44 |
80 |
3 |
26 |
2 |
45 |
82 |
4 |
20 |
2 |
46 |
84 |
41 |
2 |
2 |
47 |
86 |
3 |
28 |
2 |
48 |
88 |
43 |
2 |
2 |
49 |
90 |
4 |
22 |
2 |
50 |
92 |
3 |
30 |
2 |
51 |
94 |
4 |
23 |
2 |
52 |
96 |
47 |
2 |
2 |
53 |
98 |
3 |
32 |
2 |
54 |
100 |
3 |
33 |
1 |
55 |
101 |
2 |
50 |
1 |
56 |
102 |
4 |
25 |
2 |
57 |
104 |
3 |
34 |
2 |
58 |
106 |
4 |
26 |
2 |
59 |
108 |
8 |
13 |
4 |
60 |
112 |
3 |
37 |
1 |
61 |
113 |
2 |
56 |
1 |
62 |
114 |
113 |
1 |
1 |
63 |
115 |
113 |
1 |
2 |
64 |
117 |
113 |
1 |
4 |
65 |
121 |
7 |
17 |
2 |
66 |
123 |
11 |
11 |
2 |
67 |
125 |
3 |
41 |
2 |
68 |
127 |
4 |
31 |
3 |
69 |
130 |
4 |
32 |
2 |
70 |
132 |
131 |
1 |
1 |
71 |
133 |
2 |
66 |
1 |
72 |
134 |
131 |
1 |
3 |
73 |
137 |
3 |
45 |
2 |
74 |
139 |
137 |
1 |
2 |
75 |
141 |
139 |
1 |
2 |
76 |
143 |
3 |
47 |
2 |
77 |
145 |
11 |
13 |
2 |
78 |
147 |
5 |
29 |
2 |
79 |
149 |
3 |
49 |
2 |
80 |
151 |
149 |
1 |
2 |
81 |
153 |
151 |
1 |
2 |
82 |
155 |
3 |
51 |
2 |
83 |
157 |
5 |
31 |
2 |
84 |
159 |
157 |
1 |
2 |
85 |
161 |
3 |
53 |
2 |
86 |
163 |
7 |
23 |
2 |
87 |
165 |
163 |
1 |
2 |
88 |
167 |
3 |
55 |
2 |
89 |
169 |
167 |
1 |
2 |
90 |
171 |
2 |
85 |
1 |
91 |
172 |
3 |
57 |
1 |
92 |
173 |
3 |
57 |
2 |
93 |
175 |
173 |
1 |
2 |
94 |
177 |
5 |
35 |
2 |
95 |
179 |
3 |
59 |
2 |
96 |
181 |
179 |
1 |
2 |
97 |
183 |
4 |
45 |
3 |
98 |
186 |
4 |
46 |
2 |
99 |
188 |
11 |
17 |
1 |
100 |
189 |
2 |
94 |
1 |
101 |
190 |
6 |
31 |
4 |
102 |
194 |
191 |
1 |
3 |
103 |
197 |
3 |
65 |
2 |
104 |
199 |
197 |
1 |
2 |
105 |
201 |
199 |
1 |
2 |
106 |
203 |
3 |
67 |
2 |
107 |
205 |
7 |
29 |
2 |
108 |
207 |
5 |
41 |
2 |
109 |
209 |
3 |
69 |
2 |
110 |
211 |
11 |
19 |
2 |
111 |
213 |
211 |
1 |
2 |
112 |
215 |
3 |
71 |
2 |
113 |
217 |
5 |
43 |
2 |
114 |
219 |
7 |
31 |
2 |
115 |
221 |
3 |
73 |
2 |
116 |
223 |
2 |
111 |
1 |
117 |
224 |
223 |
1 |
1 |
118 |
225 |
223 |
1 |
2 |
119 |
227 |
3 |
75 |
2 |
120 |
229 |
227 |
1 |
2 |
121 |
231 |
229 |
1 |
2 |
122 |
233 |
5 |
46 |
3 |
123 |
236 |
3 |
78 |
2 |
124 |
238 |
4 |
59 |
2 |
125 |
240 |
7 |
34 |
2 |
126 |
242 |
3 |
80 |
2 |
127 |
244 |
11 |
22 |
2 |
128 |
246 |
4 |
61 |
2 |
129 |
248 |
3 |
82 |
2 |
130 |
250 |
4 |
62 |
2 |
131 |
252 |
5 |
50 |
2 |
132 |
254 |
3 |
84 |
2 |
133 |
256 |
127 |
2 |
2 |
134 |
258 |
4 |
64 |
2 |
135 |
260 |
3 |
86 |
2 |
136 |
262 |
4 |
65 |
2 |
137 |
264 |
131 |
2 |
2 |
138 |
266 |
3 |
88 |
2 |
139 |
268 |
7 |
38 |
2 |
140 |
270 |
4 |
67 |
2 |
141 |
272 |
3 |
90 |
2 |
142 |
274 |
4 |
68 |
2 |
143 |
276 |
137 |
2 |
2 |
144 |
278 |
3 |
92 |
2 |
145 |
280 |
139 |
2 |
2 |
146 |
282 |
4 |
70 |
2 |
147 |
284 |
3 |
94 |
2 |
148 |
286 |
3 |
95 |
1 |
149 |
287 |
2 |
143 |
1 |
150 |
288 |
11 |
26 |
2 |
151 |
290 |
3 |
96 |
2 |
152 |
292 |
5 |
58 |
2 |
153 |
294 |
4 |
73 |
2 |
154 |
296 |
3 |
98 |
2 |
155 |
298 |
4 |
74 |
2 |
156 |
300 |
149 |
2 |
2 |
157 |
302 |
3 |
100 |
2 |
158 |
304 |
5 |
60 |
4 |
159 |
308 |
3 |
102 |
2 |
160 |
310 |
4 |
77 |
2 |
161 |
312 |
5 |
62 |
2 |
162 |
314 |
3 |
104 |
2 |
163 |
316 |
157 |
2 |
2 |
164 |
318 |
4 |
79 |
2 |
165 |
320 |
3 |
106 |
2 |
166 |
322 |
4 |
80 |
2 |
167 |
324 |
7 |
46 |
2 |
168 |
326 |
3 |
108 |
2 |
169 |
328 |
163 |
2 |
2 |
170 |
330 |
4 |
82 |
2 |
171 |
332 |
3 |
110 |
2 |
172 |
334 |
4 |
83 |
2 |
173 |
336 |
167 |
2 |
2 |
174 |
338 |
337 |
1 |
1 |
175 |
339 |
2 |
169 |
1 |
176 |
340 |
13 |
26 |
2 |
177 |
342 |
4 |
85 |
2 |
178 |
344 |
3 |
114 |
2 |
179 |
346 |
4 |
86 |
2 |
180 |
348 |
173 |
2 |
2 |
181 |
350 |
347 |
1 |
3 |
182 |
353 |
3 |
117 |
2 |
183 |
355 |
353 |
1 |
2 |
184 |
357 |
5 |
71 |
2 |
185 |
359 |
3 |
119 |
2 |
186 |
361 |
359 |
1 |
2 |
187 |
363 |
19 |
19 |
2 |
188 |
365 |
181 |
2 |
3 |
189 |
368 |
3 |
122 |
2 |
190 |
370 |
4 |
92 |
2 |
191 |
372 |
5 |
74 |
2 |
192 |
374 |
3 |
124 |
2 |
193 |
376 |
11 |
34 |
2 |
194 |
378 |
4 |
94 |
2 |
195 |
380 |
3 |
126 |
2 |
196 |
382 |
4 |
95 |
2 |
197 |
384 |
191 |
2 |
2 |
198 |
386 |
3 |
128 |
2 |
199 |
388 |
193 |
2 |
2 |
200 |
390 |
4 |
97 |
2 |
201 |
392 |
3 |
130 |
2 |
202 |
394 |
4 |
98 |
2 |
203 |
396 |
197 |
2 |
2 |
204 |
398 |
3 |
132 |
2 |
205 |
400 |
199 |
2 |
2 |
206 |
402 |
4 |
100 |
2 |
207 |
404 |
13 |
31 |
1 |
208 |
405 |
2 |
202 |
1 |
209 |
406 |
4 |
101 |
2 |
210 |
408 |
7 |
58 |
2 |
211 |
410 |
3 |
136 |
2 |
212 |
412 |
5 |
82 |
2 |
213 |
414 |
4 |
103 |
2 |
214 |
416 |
3 |
138 |
2 |
215 |
418 |
5 |
83 |
3 |
216 |
421 |
419 |
1 |
2 |
217 |
423 |
421 |
1 |
2 |
218 |
425 |
3 |
141 |
2 |
219 |
427 |
5 |
85 |
2 |
220 |
429 |
7 |
61 |
2 |
221 |
431 |
3 |
143 |
2 |
222 |
433 |
431 |
1 |
2 |
223 |
435 |
433 |
1 |
2 |
224 |
437 |
3 |
145 |
2 |
225 |
439 |
19 |
23 |
2 |
226 |
441 |
439 |
1 |
2 |
227 |
443 |
3 |
147 |
2 |
228 |
445 |
443 |
1 |
2 |
229 |
447 |
5 |
89 |
2 |
230 |
449 |
3 |
149 |
2 |
231 |
451 |
2 |
225 |
1 |
232 |
452 |
11 |
41 |
1 |
233 |
453 |
11 |
41 |
2 |
234 |
455 |
3 |
151 |
2 |
235 |
457 |
5 |
91 |
2 |
236 |
459 |
457 |
1 |
2 |
237 |
461 |
3 |
153 |
2 |
238 |
463 |
9 |
51 |
4 |
239 |
467 |
3 |
155 |
2 |
240 |
469 |
467 |
1 |
2 |
241 |
471 |
7 |
67 |
2 |
242 |
473 |
3 |
157 |
2 |
243 |
475 |
11 |
43 |
2 |
244 |
477 |
5 |
95 |
2 |
245 |
479 |
3 |
159 |
2 |
246 |
481 |
479 |
1 |
2 |
247 |
483 |
13 |
37 |
2 |
248 |
485 |
3 |
161 |
2 |
249 |
487 |
5 |
97 |
2 |
250 |
489 |
487 |
1 |
2 |
251 |
491 |
3 |
163 |
2 |
252 |
493 |
491 |
1 |
2 |
253 |
495 |
17 |
29 |
2 |
254 |
497 |
3 |
165 |
2 |
255 |
499 |
7 |
71 |
2 |
256 |
501 |
499 |
1 |
2 |
257 |
503 |
3 |
167 |
2 |
258 |
505 |
503 |
1 |
2 |
259 |
507 |
5 |
101 |
2 |
260 |
509 |
2 |
254 |
1 |
261 |
510 |
509 |
1 |
1 |
262 |
511 |
509 |
1 |
2 |
263 |
513 |
7 |
73 |
2 |
264 |
515 |
3 |
171 |
2 |
265 |
517 |
5 |
103 |
2 |
266 |
519 |
11 |
47 |
2 |
267 |
521 |
3 |
173 |
2 |
268 |
523 |
521 |
1 |
2 |
269 |
525 |
521 |
1 |
4 |
270 |
529 |
17 |
31 |
2 |
271 |
531 |
23 |
23 |
2 |
272 |
533 |
3 |
177 |
2 |
273 |
535 |
13 |
41 |
2 |
274 |
537 |
5 |
107 |
2 |
275 |
539 |
3 |
179 |
2 |
276 |
541 |
7 |
77 |
2 |
277 |
543 |
541 |
1 |
2 |
278 |
545 |
3 |
181 |
2 |
279 |
547 |
5 |
109 |
2 |
280 |
549 |
547 |
1 |
2 |
281 |
551 |
3 |
183 |
2 |
282 |
553 |
19 |
29 |
2 |
283 |
555 |
7 |
79 |
2 |
284 |
557 |
3 |
185 |
2 |
285 |
559 |
557 |
1 |
2 |
286 |
561 |
13 |
43 |
2 |
287 |
563 |
3 |
187 |
2 |
288 |
565 |
563 |
1 |
2 |
289 |
567 |
5 |
113 |
2 |
290 |
569 |
3 |
189 |
2 |
291 |
571 |
569 |
1 |
2 |
292 |
573 |
571 |
1 |
2 |
293 |
575 |
3 |
191 |
2 |
294 |
577 |
5 |
115 |
2 |
295 |
579 |
577 |
1 |
2 |
296 |
581 |
3 |
193 |
2 |
297 |
583 |
7 |
83 |
2 |
298 |
585 |
11 |
53 |
2 |
299 |
587 |
3 |
195 |
2 |
300 |
589 |
587 |
1 |
2 |
301 |
591 |
19 |
31 |
2 |
302 |
593 |
3 |
197 |
2 |
303 |
595 |
593 |
1 |
2 |
304 |
597 |
5 |
119 |
2 |
305 |
599 |
3 |
199 |
2 |
306 |
601 |
599 |
1 |
2 |
307 |
603 |
601 |
1 |
2 |
308 |
605 |
3 |
201 |
2 |
309 |
607 |
5 |
121 |
2 |
310 |
609 |
607 |
1 |
2 |
311 |
611 |
3 |
203 |
2 |
312 |
613 |
13 |
47 |
2 |
313 |
615 |
613 |
1 |
2 |
314 |
617 |
3 |
205 |
2 |
315 |
619 |
617 |
1 |
2 |
316 |
621 |
619 |
1 |
2 |
317 |
623 |
3 |
207 |
2 |
318 |
625 |
7 |
89 |
2 |
319 |
627 |
5 |
125 |
2 |
320 |
629 |
3 |
209 |
2 |
321 |
631 |
17 |
37 |
2 |
322 |
633 |
631 |
1 |
2 |
323 |
635 |
3 |
211 |
2 |
324 |
637 |
5 |
127 |
2 |
325 |
639 |
7 |
91 |
2 |
326 |
641 |
3 |
213 |
2 |
327 |
643 |
641 |
1 |
2 |
328 |
645 |
643 |
1 |
2 |
329 |
647 |
3 |
215 |
2 |
330 |
649 |
647 |
1 |
2 |
331 |
651 |
11 |
59 |
2 |
332 |
653 |
3 |
217 |
2 |
333 |
655 |
653 |
1 |
2 |
334 |
657 |
5 |
131 |
2 |
335 |
659 |
3 |
219 |
2 |
336 |
661 |
659 |
1 |
2 |
337 |
663 |
661 |
1 |
2 |
338 |
665 |
3 |
221 |
2 |
339 |
667 |
5 |
133 |
2 |
340 |
669 |
23 |
29 |
2 |
341 |
671 |
3 |
223 |
2 |
342 |
673 |
11 |
61 |
2 |
343 |
675 |
2 |
337 |
1 |
344 |
676 |
3 |
225 |
1 |
345 |
677 |
3 |
225 |
2 |
346 |
679 |
677 |
1 |
2 |
347 |
681 |
7 |
97 |
2 |
348 |
683 |
3 |
227 |
2 |
349 |
685 |
683 |
1 |
2 |
350 |
687 |
5 |
137 |
2 |
351 |
689 |
3 |
229 |
2 |
352 |
691 |
13 |
53 |
2 |
353 |
693 |
691 |
1 |
2 |
354 |
695 |
3 |
231 |
2 |
355 |
697 |
5 |
139 |
2 |
356 |
699 |
17 |
41 |
2 |
357 |
701 |
3 |
233 |
2 |
358 |
703 |
701 |
1 |
2 |
359 |
705 |
19 |
37 |
2 |
360 |
707 |
3 |
235 |
2 |
361 |
709 |
7 |
101 |
2 |
362 |
711 |
709 |
1 |
2 |
363 |
713 |
3 |
237 |
2 |
364 |
715 |
23 |
31 |
2 |
365 |
717 |
5 |
143 |
2 |
366 |
719 |
3 |
239 |
2 |
367 |
721 |
719 |
1 |
2 |
368 |
723 |
7 |
103 |
2 |
369 |
725 |
19 |
38 |
3 |
370 |
728 |
3 |
242 |
2 |
371 |
730 |
4 |
182 |
2 |
372 |
732 |
9 |
81 |
3 |
373 |
735 |
733 |
1 |
2 |
374 |
737 |
3 |
245 |
2 |
375 |
739 |
11 |
67 |
2 |
376 |
741 |
739 |
1 |
2 |
377 |
743 |
3 |
247 |
2 |
378 |
745 |
743 |
1 |
2 |
379 |
747 |
5 |
149 |
2 |
380 |
749 |
3 |
249 |
2 |
381 |
751 |
7 |
107 |
2 |
382 |
753 |
751 |
1 |
2 |
383 |
755 |
2 |
377 |
1 |
384 |
756 |
5 |
151 |
1 |
385 |
757 |
5 |
151 |
2 |
386 |
759 |
757 |
1 |
2 |
387 |
761 |
3 |
253 |
2 |
388 |
763 |
4 |
190 |
3 |
389 |
766 |
7 |
109 |
3 |
390 |
769 |
13 |
59 |
2 |
391 |
771 |
2 |
385 |
1 |
392 |
772 |
3 |
257 |
1 |
393 |
773 |
5 |
154 |
3 |
394 |
776 |
3 |
258 |
2 |
395 |
778 |
4 |
194 |
2 |
396 |
780 |
389 |
2 |
2 |
397 |
782 |
3 |
260 |
2 |
398 |
784 |
17 |
46 |
2 |
399 |
786 |
4 |
196 |
2 |
400 |
788 |
3 |
262 |
2 |
401 |
790 |
4 |
197 |
2 |
402 |
792 |
5 |
158 |
2 |
403 |
794 |
3 |
264 |
2 |
404 |
796 |
397 |
2 |
2 |
405 |
798 |
4 |
199 |
2 |
406 |
800 |
3 |
266 |
2 |
407 |
802 |
4 |
200 |
2 |
408 |
804 |
401 |
2 |
2 |
409 |
806 |
3 |
268 |
2 |
410 |
808 |
13 |
62 |
2 |
411 |
810 |
4 |
202 |
2 |
412 |
812 |
3 |
270 |
2 |
413 |
814 |
4 |
203 |
2 |
414 |
816 |
11 |
74 |
2 |
415 |
818 |
3 |
272 |
2 |
416 |
820 |
409 |
2 |
2 |
417 |
822 |
4 |
205 |
2 |
418 |
824 |
3 |
274 |
2 |
419 |
826 |
4 |
206 |
2 |
420 |
828 |
7 |
118 |
2 |
421 |
830 |
3 |
276 |
2 |
422 |
832 |
5 |
166 |
2 |
423 |
834 |
4 |
208 |
2 |
424 |
836 |
3 |
278 |
2 |
425 |
838 |
4 |
209 |
2 |
426 |
840 |
419 |
2 |
2 |
427 |
842 |
3 |
280 |
2 |
428 |
844 |
3 |
281 |
1 |
429 |
845 |
2 |
422 |
1 |
430 |
846 |
4 |
211 |
2 |
431 |
848 |
3 |
282 |
2 |
432 |
850 |
4 |
212 |
2 |
433 |
852 |
5 |
170 |
2 |
434 |
854 |
3 |
284 |
2 |
435 |
856 |
7 |
122 |
2 |
436 |
858 |
4 |
214 |
2 |
437 |
860 |
3 |
286 |
2 |
438 |
862 |
4 |
215 |
2 |
439 |
864 |
431 |
2 |
2 |
440 |
866 |
3 |
288 |
2 |
441 |
868 |
6 |
144 |
4 |
442 |
872 |
3 |
290 |
2 |
443 |
874 |
4 |
218 |
2 |
444 |
876 |
19 |
46 |
2 |
445 |
878 |
3 |
292 |
2 |
446 |
880 |
439 |
2 |
2 |
447 |
882 |
4 |
220 |
2 |
448 |
884 |
3 |
294 |
2 |
449 |
886 |
4 |
221 |
2 |
450 |
888 |
443 |
2 |
2 |
451 |
890 |
3 |
296 |
2 |
452 |
892 |
5 |
178 |
2 |
453 |
894 |
4 |
223 |
2 |
454 |
896 |
3 |
298 |
2 |
455 |
898 |
4 |
224 |
2 |
456 |
900 |
449 |
2 |
2 |
457 |
902 |
3 |
300 |
2 |
458 |
904 |
11 |
82 |
2 |
459 |
906 |
4 |
226 |
2 |
460 |
908 |
3 |
302 |
2 |
461 |
910 |
4 |
227 |
2 |
462 |
912 |
5 |
182 |
2 |
463 |
914 |
3 |
304 |
2 |
464 |
916 |
457 |
2 |
2 |
465 |
918 |
4 |
229 |
2 |
466 |
920 |
3 |
306 |
2 |
467 |
922 |
4 |
230 |
2 |
468 |
924 |
461 |
2 |
2 |
469 |
926 |
3 |
308 |
2 |
470 |
928 |
463 |
2 |
2 |
471 |
930 |
4 |
232 |
2 |
472 |
932 |
3 |
310 |
2 |
473 |
934 |
4 |
233 |
2 |
474 |
936 |
467 |
2 |
2 |
475 |
938 |
3 |
312 |
2 |
476 |
940 |
7 |
134 |
2 |
477 |
942 |
4 |
235 |
2 |
478 |
944 |
3 |
314 |
2 |
479 |
946 |
4 |
236 |
2 |
480 |
948 |
11 |
86 |
2 |
481 |
950 |
3 |
316 |
2 |
482 |
952 |
5 |
190 |
2 |
483 |
954 |
4 |
238 |
2 |
484 |
956 |
3 |
318 |
2 |
485 |
958 |
4 |
239 |
2 |
486 |
960 |
479 |
2 |
2 |
487 |
962 |
3 |
320 |
2 |
488 |
964 |
13 |
74 |
2 |
489 |
966 |
4 |
241 |
2 |
490 |
968 |
3 |
322 |
2 |
491 |
970 |
4 |
242 |
2 |
492 |
972 |
5 |
194 |
2 |
493 |
974 |
3 |
324 |
2 |
494 |
976 |
487 |
2 |
2 |
495 |
978 |
4 |
244 |
2 |
496 |
980 |
3 |
326 |
2 |
497 |
982 |
4 |
245 |
2 |
498 |
984 |
983 |
1 |
1 |
499 |
985 |
2 |
492 |
1 |
500 |
986 |
3 |
328 |
2 |