Decomposition of A053696 - 2D graph - First 500 terms
Numbers that can be represented as a string of three or more 1's in a base >= 2.
n |
a053696 |
weight k(n) |
level L(n) |
jump |
1 |
7 |
0 |
0 |
6 |
2 |
13 |
11 |
1 |
2 |
3 |
15 |
9 |
1 |
6 |
4 |
21 |
11 |
1 |
10 |
5 |
31 |
11 |
2 |
9 |
6 |
40 |
37 |
1 |
3 |
7 |
43 |
29 |
1 |
14 |
8 |
57 |
17 |
3 |
6 |
9 |
63 |
53 |
1 |
10 |
10 |
73 |
61 |
1 |
12 |
11 |
85 |
79 |
1 |
6 |
12 |
91 |
71 |
1 |
20 |
13 |
111 |
101 |
1 |
10 |
14 |
121 |
23 |
5 |
6 |
15 |
127 |
11 |
11 |
6 |
16 |
133 |
55 |
2 |
23 |
17 |
156 |
5 |
31 |
1 |
18 |
157 |
131 |
1 |
26 |
19 |
183 |
31 |
5 |
28 |
20 |
211 |
181 |
1 |
30 |
21 |
241 |
227 |
1 |
14 |
22 |
255 |
251 |
1 |
4 |
23 |
259 |
35 |
7 |
14 |
24 |
273 |
239 |
1 |
34 |
25 |
307 |
39 |
7 |
34 |
26 |
341 |
3 |
113 |
2 |
27 |
343 |
23 |
14 |
21 |
28 |
364 |
347 |
1 |
17 |
29 |
381 |
181 |
2 |
19 |
30 |
400 |
379 |
1 |
21 |
31 |
421 |
379 |
1 |
42 |
32 |
463 |
419 |
1 |
44 |
33 |
507 |
503 |
1 |
4 |
34 |
511 |
67 |
7 |
42 |
35 |
553 |
521 |
1 |
32 |
36 |
585 |
569 |
1 |
16 |
37 |
601 |
551 |
1 |
50 |
38 |
651 |
599 |
1 |
52 |
39 |
703 |
59 |
11 |
54 |
40 |
757 |
733 |
1 |
24 |
41 |
781 |
107 |
7 |
32 |
42 |
813 |
13 |
62 |
7 |
43 |
820 |
769 |
1 |
51 |
44 |
871 |
811 |
1 |
60 |
45 |
931 |
79 |
11 |
62 |
46 |
993 |
107 |
9 |
30 |
47 |
1023 |
43 |
23 |
34 |
48 |
1057 |
1021 |
1 |
36 |
49 |
1093 |
25 |
43 |
18 |
50 |
1111 |
157 |
7 |
12 |
51 |
1123 |
211 |
5 |
68 |
52 |
1191 |
1121 |
1 |
70 |
53 |
1261 |
1189 |
1 |
72 |
54 |
1333 |
1301 |
1 |
32 |
55 |
1365 |
49 |
27 |
42 |
56 |
1407 |
75 |
18 |
57 |
57 |
1464 |
85 |
17 |
19 |
58 |
1483 |
83 |
17 |
72 |
59 |
1555 |
1549 |
1 |
6 |
60 |
1561 |
1481 |
1 |
80 |
61 |
1641 |
1559 |
1 |
82 |
62 |
1723 |
149 |
11 |
84 |
63 |
1807 |
91 |
19 |
78 |
64 |
1885 |
1877 |
1 |
8 |
65 |
1893 |
95 |
19 |
88 |
66 |
1981 |
383 |
5 |
66 |
67 |
2047 |
119 |
17 |
24 |
68 |
2071 |
1979 |
1 |
92 |
69 |
2163 |
2069 |
1 |
94 |
70 |
2257 |
2161 |
1 |
96 |
71 |
2353 |
1163 |
2 |
27 |
72 |
2380 |
2309 |
1 |
71 |
73 |
2451 |
2351 |
1 |
100 |
74 |
2551 |
2449 |
1 |
102 |
75 |
2653 |
2549 |
1 |
104 |
76 |
2757 |
2713 |
1 |
44 |
77 |
2801 |
83 |
33 |
62 |
78 |
2863 |
163 |
17 |
92 |
79 |
2955 |
2939 |
1 |
16 |
80 |
2971 |
2861 |
1 |
110 |
81 |
3081 |
2969 |
1 |
112 |
82 |
3193 |
1553 |
2 |
87 |
83 |
3280 |
3253 |
1 |
27 |
84 |
3307 |
3191 |
1 |
116 |
85 |
3423 |
661 |
5 |
118 |
86 |
3541 |
1733 |
2 |
75 |
87 |
3616 |
3571 |
1 |
45 |
88 |
3661 |
3539 |
1 |
122 |
89 |
3783 |
183 |
20 |
123 |
90 |
3906 |
5 |
781 |
1 |
91 |
3907 |
199 |
19 |
126 |
92 |
4033 |
209 |
19 |
62 |
93 |
4095 |
79 |
51 |
66 |
94 |
4161 |
139 |
29 |
130 |
95 |
4291 |
383 |
11 |
78 |
96 |
4369 |
863 |
5 |
54 |
97 |
4423 |
4289 |
1 |
134 |
98 |
4557 |
143 |
31 |
124 |
99 |
4681 |
23 |
203 |
12 |
100 |
4693 |
911 |
5 |
138 |
101 |
4831 |
4691 |
1 |
140 |
102 |
4971 |
439 |
11 |
142 |
103 |
5113 |
2503 |
2 |
107 |
104 |
5220 |
71 |
73 |
37 |
105 |
5257 |
269 |
19 |
146 |
106 |
5403 |
1069 |
5 |
58 |
107 |
5461 |
131 |
41 |
90 |
108 |
5551 |
491 |
11 |
150 |
109 |
5701 |
179 |
31 |
152 |
110 |
5853 |
5699 |
1 |
154 |
111 |
6007 |
5851 |
1 |
156 |
112 |
6163 |
6151 |
1 |
12 |
113 |
6175 |
6029 |
1 |
146 |
114 |
6321 |
6161 |
1 |
160 |
115 |
6481 |
6319 |
1 |
162 |
116 |
6643 |
209 |
31 |
164 |
117 |
6807 |
229 |
29 |
166 |
118 |
6973 |
1361 |
5 |
168 |
119 |
7141 |
503 |
14 |
99 |
120 |
7240 |
107 |
67 |
71 |
121 |
7311 |
557 |
13 |
70 |
122 |
7381 |
251 |
29 |
102 |
123 |
7483 |
7309 |
1 |
174 |
124 |
7657 |
7481 |
1 |
176 |
125 |
7833 |
1531 |
5 |
178 |
126 |
8011 |
191 |
41 |
180 |
127 |
8191 |
8009 |
1 |
182 |
128 |
8373 |
75 |
111 |
48 |
129 |
8421 |
1657 |
5 |
136 |
130 |
8557 |
761 |
11 |
186 |
131 |
8743 |
295 |
29 |
188 |
132 |
8931 |
8741 |
1 |
190 |
133 |
9121 |
8929 |
1 |
192 |
134 |
9313 |
55 |
169 |
18 |
135 |
9331 |
1831 |
5 |
176 |
136 |
9507 |
9311 |
1 |
196 |
137 |
9703 |
47 |
206 |
21 |
138 |
9724 |
739 |
13 |
117 |
139 |
9841 |
9781 |
1 |
60 |
140 |
9901 |
9701 |
1 |
200 |
141 |
10101 |
521 |
19 |
202 |
142 |
10303 |
10099 |
1 |
204 |
143 |
10507 |
10301 |
1 |
206 |
144 |
10713 |
955 |
11 |
208 |
145 |
10921 |
219 |
49 |
190 |
146 |
11111 |
3697 |
3 |
20 |
147 |
11131 |
29 |
383 |
24 |
148 |
11155 |
997 |
11 |
188 |
149 |
11343 |
359 |
31 |
214 |
150 |
11557 |
1031 |
11 |
216 |
151 |
11773 |
2311 |
5 |
218 |
152 |
11991 |
11771 |
1 |
220 |
153 |
12211 |
631 |
19 |
222 |
154 |
12433 |
421 |
29 |
224 |
155 |
12657 |
2099 |
6 |
63 |
156 |
12720 |
433 |
29 |
163 |
157 |
12883 |
2531 |
5 |
228 |
158 |
13111 |
1171 |
11 |
230 |
159 |
13341 |
13109 |
1 |
232 |
160 |
13573 |
13339 |
1 |
234 |
161 |
13807 |
331 |
41 |
236 |
162 |
14043 |
251 |
55 |
238 |
163 |
14281 |
211 |
67 |
144 |
164 |
14425 |
161 |
89 |
96 |
165 |
14521 |
14279 |
1 |
242 |
166 |
14763 |
14519 |
1 |
244 |
167 |
15007 |
509 |
29 |
246 |
168 |
15253 |
3001 |
5 |
248 |
169 |
15501 |
15251 |
1 |
250 |
170 |
15751 |
1409 |
11 |
252 |
171 |
16003 |
15901 |
1 |
102 |
172 |
16105 |
301 |
53 |
152 |
173 |
16257 |
23 |
706 |
19 |
174 |
16276 |
437 |
37 |
107 |
175 |
16383 |
16253 |
1 |
130 |
176 |
16513 |
3251 |
5 |
258 |
177 |
16771 |
869 |
19 |
260 |
178 |
17031 |
409 |
41 |
262 |
179 |
17293 |
17029 |
1 |
264 |
180 |
17557 |
17291 |
1 |
266 |
181 |
17823 |
3511 |
5 |
268 |
182 |
18091 |
17903 |
1 |
188 |
183 |
18279 |
587 |
31 |
82 |
184 |
18361 |
18089 |
1 |
272 |
185 |
18633 |
1669 |
11 |
274 |
186 |
18907 |
601 |
31 |
276 |
187 |
19183 |
995 |
19 |
278 |
188 |
19461 |
19391 |
1 |
70 |
189 |
19531 |
137 |
142 |
77 |
190 |
19608 |
205 |
95 |
133 |
191 |
19741 |
319 |
61 |
282 |
192 |
20023 |
19739 |
1 |
284 |
193 |
20307 |
154 |
131 |
133 |
194 |
20440 |
20287 |
1 |
153 |
195 |
20593 |
655 |
31 |
288 |
196 |
20881 |
349 |
59 |
290 |
197 |
21171 |
20879 |
1 |
292 |
198 |
21463 |
21169 |
1 |
294 |
199 |
21757 |
93 |
233 |
88 |
200 |
21845 |
281 |
77 |
208 |
201 |
22053 |
1145 |
19 |
298 |
202 |
22351 |
311 |
71 |
270 |
203 |
22621 |
41 |
551 |
30 |
204 |
22651 |
727 |
31 |
114 |
205 |
22765 |
211 |
107 |
188 |
206 |
22953 |
319 |
71 |
304 |
207 |
23257 |
389 |
59 |
306 |
208 |
23563 |
4651 |
5 |
308 |
209 |
23871 |
23561 |
1 |
310 |
210 |
24181 |
23869 |
1 |
312 |
211 |
24493 |
24179 |
1 |
314 |
212 |
24807 |
1289 |
19 |
316 |
213 |
25123 |
403 |
62 |
137 |
214 |
25260 |
809 |
31 |
181 |
215 |
25441 |
25121 |
1 |
320 |
216 |
25761 |
25439 |
1 |
322 |
217 |
26083 |
25759 |
1 |
324 |
218 |
26407 |
2371 |
11 |
326 |
219 |
26733 |
5281 |
5 |
328 |
220 |
27061 |
26731 |
1 |
330 |
221 |
27391 |
27059 |
1 |
332 |
222 |
27723 |
5503 |
5 |
208 |
223 |
27931 |
335 |
83 |
126 |
224 |
28057 |
1459 |
19 |
336 |
225 |
28393 |
905 |
31 |
338 |
226 |
28731 |
979 |
29 |
340 |
227 |
29071 |
28729 |
1 |
342 |
228 |
29413 |
161 |
182 |
111 |
229 |
29524 |
1723 |
17 |
233 |
230 |
29757 |
29411 |
1 |
346 |
231 |
30103 |
541 |
55 |
348 |
232 |
30451 |
407 |
74 |
333 |
233 |
30784 |
2797 |
11 |
17 |
234 |
30801 |
30661 |
1 |
140 |
235 |
30941 |
10243 |
3 |
212 |
236 |
31153 |
1621 |
19 |
354 |
237 |
31507 |
31151 |
1 |
356 |
238 |
31863 |
6301 |
5 |
358 |
239 |
32221 |
31861 |
1 |
360 |
240 |
32581 |
209 |
155 |
186 |
241 |
32767 |
299 |
109 |
176 |
242 |
32943 |
32579 |
1 |
364 |
243 |
33307 |
32941 |
1 |
366 |
244 |
33673 |
33521 |
1 |
152 |
245 |
33825 |
659 |
51 |
216 |
246 |
34041 |
3061 |
11 |
370 |
247 |
34411 |
34039 |
1 |
372 |
248 |
34783 |
1811 |
19 |
374 |
249 |
35157 |
34781 |
1 |
376 |
250 |
35533 |
395 |
89 |
378 |
251 |
35911 |
35531 |
1 |
380 |
252 |
36291 |
35909 |
1 |
382 |
253 |
36673 |
3299 |
11 |
384 |
254 |
37057 |
97 |
382 |
3 |
255 |
37060 |
36677 |
1 |
383 |
256 |
37443 |
12479 |
3 |
6 |
257 |
37449 |
37067 |
1 |
382 |
258 |
37831 |
37441 |
1 |
390 |
259 |
38221 |
1991 |
19 |
392 |
260 |
38613 |
38219 |
1 |
394 |
261 |
39007 |
38611 |
1 |
396 |
262 |
39403 |
1345 |
29 |
398 |
263 |
39801 |
961 |
41 |
400 |
264 |
40201 |
5701 |
7 |
294 |
265 |
40495 |
40387 |
1 |
108 |
266 |
40603 |
659 |
61 |
404 |
267 |
41007 |
419 |
97 |
364 |
268 |
41371 |
1117 |
37 |
42 |
269 |
41413 |
695 |
59 |
408 |
270 |
41821 |
41411 |
1 |
410 |
271 |
42231 |
589 |
71 |
412 |
272 |
42643 |
3839 |
11 |
414 |
273 |
43057 |
42641 |
1 |
416 |
274 |
43473 |
545 |
79 |
418 |
275 |
43891 |
278 |
157 |
245 |
276 |
44136 |
43961 |
1 |
175 |
277 |
44311 |
43889 |
1 |
422 |
278 |
44733 |
751 |
59 |
424 |
279 |
45157 |
1091 |
41 |
426 |
280 |
45583 |
821 |
55 |
428 |
281 |
46011 |
2399 |
19 |
430 |
282 |
46441 |
46009 |
1 |
432 |
283 |
46873 |
46439 |
1 |
434 |
284 |
47307 |
4261 |
11 |
436 |
285 |
47743 |
47497 |
1 |
246 |
286 |
47989 |
47797 |
1 |
192 |
287 |
48181 |
47741 |
1 |
440 |
288 |
48621 |
48179 |
1 |
442 |
289 |
49063 |
48619 |
1 |
444 |
290 |
49507 |
691 |
71 |
446 |
291 |
49953 |
9901 |
5 |
448 |
292 |
50401 |
2629 |
19 |
450 |
293 |
50851 |
499 |
101 |
452 |
294 |
51303 |
50849 |
1 |
454 |
295 |
51757 |
1979 |
26 |
303 |
296 |
52060 |
51907 |
1 |
153 |
297 |
52213 |
941 |
55 |
458 |
298 |
52671 |
479 |
109 |
460 |
299 |
53131 |
1699 |
31 |
462 |
300 |
53593 |
53129 |
1 |
464 |
301 |
54057 |
3169 |
17 |
184 |
302 |
54241 |
53959 |
1 |
282 |
303 |
54523 |
569 |
95 |
468 |
304 |
54991 |
54521 |
1 |
470 |
305 |
55461 |
4999 |
11 |
472 |
306 |
55933 |
173 |
323 |
54 |
307 |
55987 |
55619 |
1 |
368 |
308 |
56355 |
61 |
923 |
52 |
309 |
56407 |
55931 |
1 |
476 |
310 |
56883 |
1945 |
29 |
478 |
311 |
57361 |
5171 |
11 |
480 |
312 |
57841 |
1399 |
41 |
482 |
313 |
58323 |
57839 |
1 |
484 |
314 |
58807 |
58321 |
1 |
486 |
315 |
59293 |
619 |
95 |
488 |
316 |
59781 |
59291 |
1 |
490 |
317 |
60271 |
59779 |
1 |
492 |
318 |
60763 |
30323 |
2 |
117 |
319 |
60880 |
3559 |
17 |
377 |
320 |
61257 |
60761 |
1 |
496 |
321 |
61753 |
12251 |
5 |
498 |
322 |
62251 |
61751 |
1 |
500 |
323 |
62751 |
5659 |
11 |
502 |
324 |
63253 |
62749 |
1 |
504 |
325 |
63757 |
3329 |
19 |
506 |
326 |
64263 |
1555 |
41 |
508 |
327 |
64771 |
64261 |
1 |
510 |
328 |
65281 |
65027 |
1 |
254 |
329 |
65535 |
719 |
91 |
106 |
330 |
65641 |
1523 |
43 |
152 |
331 |
65793 |
2251 |
29 |
514 |
332 |
66307 |
8273 |
8 |
123 |
333 |
66430 |
66037 |
1 |
393 |
334 |
66823 |
745 |
89 |
518 |
335 |
67341 |
66821 |
1 |
520 |
336 |
67861 |
67339 |
1 |
522 |
337 |
68383 |
2189 |
31 |
524 |
338 |
68907 |
1121 |
61 |
526 |
339 |
69433 |
543 |
127 |
472 |
340 |
69905 |
117 |
597 |
56 |
341 |
69961 |
69431 |
1 |
530 |
342 |
70491 |
617 |
114 |
153 |
343 |
70644 |
611 |
115 |
379 |
344 |
71023 |
70489 |
1 |
534 |
345 |
71557 |
899 |
79 |
536 |
346 |
72093 |
1301 |
55 |
538 |
347 |
72631 |
72091 |
1 |
540 |
348 |
73171 |
1231 |
59 |
542 |
349 |
73713 |
3851 |
19 |
544 |
350 |
74257 |
6701 |
11 |
546 |
351 |
74803 |
14851 |
5 |
548 |
352 |
75351 |
74807 |
1 |
544 |
353 |
75895 |
11 |
6899 |
6 |
354 |
75901 |
75349 |
1 |
552 |
355 |
76453 |
1069 |
71 |
554 |
356 |
77007 |
859 |
89 |
556 |
357 |
77563 |
15401 |
5 |
558 |
358 |
78121 |
641 |
121 |
560 |
359 |
78681 |
78119 |
1 |
562 |
360 |
79243 |
779 |
101 |
564 |
361 |
79807 |
79241 |
1 |
566 |
362 |
80373 |
1451 |
55 |
568 |
363 |
80941 |
40241 |
2 |
459 |
364 |
81400 |
169 |
481 |
111 |
365 |
81511 |
2791 |
29 |
572 |
366 |
82083 |
81509 |
1 |
574 |
367 |
82657 |
1039 |
79 |
576 |
368 |
83233 |
1355 |
61 |
578 |
369 |
83811 |
83231 |
1 |
580 |
370 |
84391 |
4411 |
19 |
582 |
371 |
84973 |
84389 |
1 |
584 |
372 |
85557 |
2741 |
31 |
586 |
373 |
86143 |
1205 |
71 |
588 |
374 |
86731 |
86297 |
1 |
434 |
375 |
87165 |
291 |
299 |
156 |
376 |
87321 |
87 |
1003 |
60 |
377 |
87381 |
653 |
133 |
532 |
378 |
87913 |
3011 |
29 |
594 |
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5 |
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1 |
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31 |
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384 |
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19 |
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11 |
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612 |
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616 |
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618 |
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634 |
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59 |
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29 |
488 |
151740 |
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152491 |
151709 |
1 |
782 |
490 |
153273 |
4919 |
31 |
784 |
491 |
154057 |
153271 |
1 |
786 |
492 |
154843 |
2801 |
55 |
788 |
493 |
155631 |
154841 |
1 |
790 |
494 |
156421 |
8191 |
19 |
792 |
495 |
157213 |
156419 |
1 |
794 |
496 |
158007 |
157211 |
1 |
796 |
497 |
158803 |
31601 |
5 |
798 |
498 |
159601 |
158801 |
1 |
800 |
499 |
160401 |
160367 |
1 |
34 |
500 |
160435 |
159667 |
1 |
768 |