Decomposition of A020756 - 2D graph - First 500 terms
Numbers which are the sum of two triangular numbers.
n |
a020756 |
weight k(n) |
level L(n) |
jump |
1 |
0 |
0 |
0 |
1 |
2 |
1 |
0 |
0 |
1 |
3 |
2 |
0 |
0 |
1 |
4 |
3 |
2 |
1 |
1 |
5 |
4 |
0 |
0 |
2 |
6 |
6 |
5 |
1 |
1 |
7 |
7 |
5 |
1 |
2 |
8 |
9 |
2 |
4 |
1 |
9 |
10 |
3 |
3 |
1 |
10 |
11 |
2 |
5 |
1 |
11 |
12 |
11 |
1 |
1 |
12 |
13 |
11 |
1 |
2 |
13 |
15 |
2 |
7 |
1 |
14 |
16 |
7 |
2 |
2 |
15 |
18 |
4 |
4 |
2 |
16 |
20 |
19 |
1 |
1 |
17 |
21 |
2 |
10 |
1 |
18 |
22 |
4 |
5 |
2 |
19 |
24 |
23 |
1 |
1 |
20 |
25 |
23 |
1 |
2 |
21 |
27 |
2 |
13 |
1 |
22 |
28 |
3 |
9 |
1 |
23 |
29 |
2 |
14 |
1 |
24 |
30 |
29 |
1 |
1 |
25 |
31 |
4 |
7 |
3 |
26 |
34 |
4 |
8 |
2 |
27 |
36 |
5 |
7 |
1 |
28 |
37 |
2 |
18 |
1 |
29 |
38 |
37 |
1 |
1 |
30 |
39 |
4 |
9 |
3 |
31 |
42 |
41 |
1 |
1 |
32 |
43 |
41 |
1 |
2 |
33 |
45 |
2 |
22 |
1 |
34 |
46 |
4 |
11 |
2 |
35 |
48 |
47 |
1 |
1 |
36 |
49 |
47 |
1 |
2 |
37 |
51 |
47 |
1 |
4 |
38 |
55 |
2 |
27 |
1 |
39 |
56 |
5 |
11 |
1 |
40 |
57 |
2 |
28 |
1 |
41 |
58 |
4 |
14 |
2 |
42 |
60 |
59 |
1 |
1 |
43 |
61 |
29 |
2 |
3 |
44 |
64 |
3 |
21 |
1 |
45 |
65 |
2 |
32 |
1 |
46 |
66 |
5 |
13 |
1 |
47 |
67 |
5 |
13 |
2 |
48 |
69 |
2 |
34 |
1 |
49 |
70 |
4 |
17 |
2 |
50 |
72 |
71 |
1 |
1 |
51 |
73 |
5 |
14 |
3 |
52 |
76 |
37 |
2 |
2 |
53 |
78 |
7 |
11 |
1 |
54 |
79 |
7 |
11 |
2 |
55 |
81 |
79 |
1 |
2 |
56 |
83 |
2 |
41 |
1 |
57 |
84 |
9 |
9 |
3 |
58 |
87 |
2 |
43 |
1 |
59 |
88 |
43 |
2 |
2 |
60 |
90 |
89 |
1 |
1 |
61 |
91 |
2 |
45 |
1 |
62 |
92 |
7 |
13 |
1 |
63 |
93 |
2 |
46 |
1 |
64 |
94 |
7 |
13 |
3 |
65 |
97 |
5 |
19 |
2 |
66 |
99 |
2 |
49 |
1 |
67 |
100 |
3 |
33 |
1 |
68 |
101 |
2 |
50 |
1 |
69 |
102 |
9 |
11 |
3 |
70 |
105 |
2 |
52 |
1 |
71 |
106 |
4 |
26 |
2 |
72 |
108 |
53 |
2 |
2 |
73 |
110 |
109 |
1 |
1 |
74 |
111 |
2 |
55 |
1 |
75 |
112 |
5 |
22 |
2 |
76 |
114 |
113 |
1 |
1 |
77 |
115 |
37 |
3 |
4 |
78 |
119 |
2 |
59 |
1 |
79 |
120 |
7 |
17 |
1 |
80 |
121 |
7 |
17 |
2 |
81 |
123 |
4 |
30 |
3 |
82 |
126 |
5 |
25 |
1 |
83 |
127 |
4 |
31 |
3 |
84 |
130 |
4 |
32 |
2 |
85 |
132 |
131 |
1 |
1 |
86 |
133 |
131 |
1 |
2 |
87 |
135 |
2 |
67 |
1 |
88 |
136 |
3 |
45 |
1 |
89 |
137 |
3 |
45 |
2 |
90 |
139 |
137 |
1 |
2 |
91 |
141 |
2 |
70 |
1 |
92 |
142 |
4 |
35 |
2 |
93 |
144 |
71 |
2 |
2 |
94 |
146 |
3 |
48 |
2 |
95 |
148 |
73 |
2 |
2 |
96 |
150 |
149 |
1 |
1 |
97 |
151 |
149 |
1 |
2 |
98 |
153 |
2 |
76 |
1 |
99 |
154 |
4 |
38 |
2 |
100 |
156 |
5 |
31 |
1 |
101 |
157 |
5 |
31 |
2 |
102 |
159 |
2 |
79 |
1 |
103 |
160 |
157 |
1 |
3 |
104 |
163 |
2 |
81 |
1 |
105 |
164 |
163 |
1 |
1 |
106 |
165 |
6 |
27 |
3 |
107 |
168 |
167 |
1 |
1 |
108 |
169 |
167 |
1 |
2 |
109 |
171 |
2 |
85 |
1 |
110 |
172 |
5 |
34 |
2 |
111 |
174 |
173 |
1 |
1 |
112 |
175 |
173 |
1 |
2 |
113 |
177 |
173 |
1 |
4 |
114 |
181 |
2 |
90 |
1 |
115 |
182 |
181 |
1 |
1 |
116 |
183 |
4 |
45 |
3 |
117 |
186 |
61 |
3 |
3 |
118 |
189 |
2 |
94 |
1 |
119 |
190 |
3 |
63 |
1 |
120 |
191 |
2 |
95 |
1 |
121 |
192 |
191 |
1 |
1 |
122 |
193 |
5 |
38 |
3 |
123 |
196 |
97 |
2 |
2 |
124 |
198 |
197 |
1 |
1 |
125 |
199 |
2 |
99 |
1 |
126 |
200 |
3 |
66 |
2 |
127 |
202 |
199 |
1 |
3 |
128 |
205 |
7 |
29 |
2 |
129 |
207 |
2 |
103 |
1 |
130 |
208 |
103 |
2 |
2 |
131 |
210 |
11 |
19 |
1 |
132 |
211 |
11 |
19 |
2 |
133 |
213 |
2 |
106 |
1 |
134 |
214 |
4 |
53 |
2 |
135 |
216 |
107 |
2 |
2 |
136 |
218 |
7 |
31 |
1 |
137 |
219 |
2 |
109 |
1 |
138 |
220 |
43 |
5 |
5 |
139 |
225 |
2 |
112 |
1 |
140 |
226 |
3 |
75 |
1 |
141 |
227 |
223 |
1 |
4 |
142 |
231 |
2 |
115 |
1 |
143 |
232 |
5 |
46 |
2 |
144 |
234 |
233 |
1 |
1 |
145 |
235 |
233 |
1 |
2 |
146 |
237 |
2 |
118 |
1 |
147 |
238 |
4 |
59 |
2 |
148 |
240 |
239 |
1 |
1 |
149 |
241 |
7 |
34 |
3 |
150 |
244 |
3 |
81 |
1 |
151 |
245 |
2 |
122 |
1 |
152 |
246 |
9 |
27 |
3 |
153 |
249 |
6 |
41 |
3 |
154 |
252 |
251 |
1 |
1 |
155 |
253 |
2 |
126 |
1 |
156 |
254 |
11 |
23 |
1 |
157 |
255 |
2 |
127 |
1 |
158 |
256 |
127 |
2 |
2 |
159 |
258 |
257 |
1 |
1 |
160 |
259 |
4 |
64 |
3 |
161 |
262 |
3 |
87 |
1 |
162 |
263 |
3 |
87 |
2 |
163 |
265 |
263 |
1 |
2 |
164 |
267 |
2 |
133 |
1 |
165 |
268 |
6 |
44 |
4 |
166 |
272 |
271 |
1 |
1 |
167 |
273 |
2 |
136 |
1 |
168 |
274 |
4 |
68 |
2 |
169 |
276 |
5 |
55 |
1 |
170 |
277 |
5 |
55 |
2 |
171 |
279 |
277 |
1 |
2 |
172 |
281 |
2 |
140 |
1 |
173 |
282 |
139 |
2 |
4 |
174 |
286 |
4 |
71 |
2 |
175 |
288 |
7 |
41 |
1 |
176 |
289 |
7 |
41 |
2 |
177 |
291 |
7 |
41 |
4 |
178 |
295 |
293 |
1 |
2 |
179 |
297 |
2 |
148 |
1 |
180 |
298 |
4 |
74 |
2 |
181 |
300 |
13 |
23 |
1 |
182 |
301 |
13 |
23 |
2 |
183 |
303 |
2 |
151 |
1 |
184 |
304 |
151 |
2 |
2 |
185 |
306 |
5 |
61 |
1 |
186 |
307 |
2 |
153 |
1 |
187 |
308 |
307 |
1 |
1 |
188 |
309 |
2 |
154 |
1 |
189 |
310 |
4 |
77 |
2 |
190 |
312 |
103 |
3 |
3 |
191 |
315 |
311 |
1 |
4 |
192 |
319 |
317 |
1 |
2 |
193 |
321 |
2 |
160 |
1 |
194 |
322 |
4 |
80 |
2 |
195 |
324 |
17 |
19 |
1 |
196 |
325 |
2 |
162 |
1 |
197 |
326 |
3 |
108 |
2 |
198 |
328 |
163 |
2 |
2 |
199 |
330 |
7 |
47 |
1 |
200 |
331 |
109 |
3 |
4 |
201 |
335 |
2 |
167 |
1 |
202 |
336 |
83 |
4 |
4 |
203 |
340 |
13 |
26 |
2 |
204 |
342 |
11 |
31 |
1 |
205 |
343 |
2 |
171 |
1 |
206 |
344 |
7 |
49 |
1 |
207 |
345 |
2 |
172 |
1 |
208 |
346 |
11 |
31 |
5 |
209 |
351 |
2 |
175 |
1 |
210 |
352 |
3 |
117 |
1 |
211 |
353 |
2 |
176 |
1 |
212 |
354 |
353 |
1 |
1 |
213 |
355 |
353 |
1 |
2 |
214 |
357 |
2 |
178 |
1 |
215 |
358 |
5 |
71 |
3 |
216 |
361 |
359 |
1 |
2 |
217 |
363 |
4 |
90 |
3 |
218 |
366 |
5 |
73 |
1 |
219 |
367 |
4 |
91 |
3 |
220 |
370 |
4 |
92 |
2 |
221 |
372 |
7 |
53 |
1 |
222 |
373 |
8 |
46 |
5 |
223 |
378 |
13 |
29 |
1 |
224 |
379 |
2 |
189 |
1 |
225 |
380 |
379 |
1 |
1 |
226 |
381 |
6 |
63 |
3 |
227 |
384 |
127 |
3 |
3 |
228 |
387 |
2 |
193 |
1 |
229 |
388 |
3 |
129 |
1 |
230 |
389 |
3 |
129 |
2 |
231 |
391 |
389 |
1 |
2 |
232 |
393 |
5 |
78 |
3 |
233 |
396 |
131 |
3 |
3 |
234 |
399 |
2 |
199 |
1 |
235 |
400 |
199 |
2 |
2 |
236 |
402 |
401 |
1 |
1 |
237 |
403 |
401 |
1 |
2 |
238 |
405 |
2 |
202 |
1 |
239 |
406 |
3 |
135 |
1 |
240 |
407 |
3 |
135 |
2 |
241 |
409 |
7 |
58 |
3 |
242 |
412 |
5 |
82 |
2 |
243 |
414 |
4 |
103 |
2 |
244 |
416 |
5 |
83 |
1 |
245 |
417 |
6 |
69 |
3 |
246 |
420 |
419 |
1 |
1 |
247 |
421 |
419 |
1 |
2 |
248 |
423 |
2 |
211 |
1 |
249 |
424 |
421 |
1 |
3 |
250 |
427 |
5 |
85 |
2 |
251 |
429 |
2 |
214 |
1 |
252 |
430 |
7 |
61 |
3 |
253 |
433 |
2 |
216 |
1 |
254 |
434 |
433 |
1 |
1 |
255 |
435 |
2 |
217 |
1 |
256 |
436 |
7 |
62 |
2 |
257 |
438 |
5 |
87 |
3 |
258 |
441 |
2 |
220 |
1 |
259 |
442 |
3 |
147 |
1 |
260 |
443 |
2 |
221 |
1 |
261 |
444 |
443 |
1 |
1 |
262 |
445 |
443 |
1 |
2 |
263 |
447 |
4 |
111 |
3 |
264 |
450 |
449 |
1 |
1 |
265 |
451 |
449 |
1 |
2 |
266 |
453 |
5 |
90 |
3 |
267 |
456 |
11 |
41 |
5 |
268 |
461 |
2 |
230 |
1 |
269 |
462 |
461 |
1 |
1 |
270 |
463 |
461 |
1 |
2 |
271 |
465 |
2 |
232 |
1 |
272 |
466 |
4 |
116 |
2 |
273 |
468 |
467 |
1 |
1 |
274 |
469 |
467 |
1 |
2 |
275 |
471 |
2 |
235 |
1 |
276 |
472 |
7 |
67 |
3 |
277 |
475 |
4 |
118 |
3 |
278 |
478 |
4 |
119 |
2 |
279 |
480 |
9 |
53 |
3 |
280 |
483 |
2 |
241 |
1 |
281 |
484 |
241 |
2 |
2 |
282 |
486 |
5 |
97 |
1 |
283 |
487 |
4 |
121 |
3 |
284 |
490 |
487 |
1 |
3 |
285 |
493 |
5 |
98 |
3 |
286 |
496 |
3 |
165 |
1 |
287 |
497 |
2 |
248 |
1 |
288 |
498 |
7 |
71 |
1 |
289 |
499 |
7 |
71 |
2 |
290 |
501 |
2 |
250 |
1 |
291 |
502 |
4 |
125 |
2 |
292 |
504 |
251 |
2 |
2 |
293 |
506 |
5 |
101 |
1 |
294 |
507 |
4 |
126 |
3 |
295 |
510 |
509 |
1 |
1 |
296 |
511 |
509 |
1 |
2 |
297 |
513 |
2 |
256 |
1 |
298 |
514 |
3 |
171 |
1 |
299 |
515 |
3 |
171 |
2 |
300 |
517 |
257 |
2 |
3 |
301 |
520 |
7 |
74 |
2 |
302 |
522 |
4 |
130 |
2 |
303 |
524 |
3 |
174 |
2 |
304 |
526 |
4 |
131 |
2 |
305 |
528 |
17 |
31 |
1 |
306 |
529 |
17 |
31 |
2 |
307 |
531 |
2 |
265 |
1 |
308 |
532 |
5 |
106 |
2 |
309 |
534 |
13 |
41 |
1 |
310 |
535 |
4 |
133 |
3 |
311 |
538 |
4 |
134 |
2 |
312 |
540 |
7 |
77 |
1 |
313 |
541 |
2 |
270 |
1 |
314 |
542 |
541 |
1 |
1 |
315 |
543 |
179 |
3 |
6 |
316 |
549 |
547 |
1 |
2 |
317 |
551 |
2 |
275 |
1 |
318 |
552 |
19 |
29 |
1 |
319 |
553 |
19 |
29 |
2 |
320 |
555 |
2 |
277 |
1 |
321 |
556 |
7 |
79 |
3 |
322 |
559 |
557 |
1 |
2 |
323 |
561 |
2 |
280 |
1 |
324 |
562 |
4 |
140 |
2 |
325 |
564 |
11 |
51 |
3 |
326 |
567 |
2 |
283 |
1 |
327 |
568 |
283 |
2 |
2 |
328 |
570 |
569 |
1 |
1 |
329 |
571 |
569 |
1 |
2 |
330 |
573 |
2 |
286 |
1 |
331 |
574 |
4 |
143 |
2 |
332 |
576 |
5 |
115 |
1 |
333 |
577 |
2 |
288 |
1 |
334 |
578 |
7 |
82 |
4 |
335 |
582 |
7 |
83 |
1 |
336 |
583 |
7 |
83 |
2 |
337 |
585 |
11 |
53 |
2 |
338 |
587 |
2 |
293 |
1 |
339 |
588 |
587 |
1 |
1 |
340 |
589 |
8 |
73 |
5 |
341 |
594 |
593 |
1 |
1 |
342 |
595 |
2 |
297 |
1 |
343 |
596 |
5 |
119 |
1 |
344 |
597 |
2 |
298 |
1 |
345 |
598 |
4 |
149 |
2 |
346 |
600 |
599 |
1 |
1 |
347 |
601 |
13 |
46 |
3 |
348 |
604 |
3 |
201 |
1 |
349 |
605 |
2 |
302 |
1 |
350 |
606 |
9 |
67 |
3 |
351 |
609 |
2 |
304 |
1 |
352 |
610 |
151 |
4 |
6 |
353 |
616 |
307 |
2 |
2 |
354 |
618 |
617 |
1 |
1 |
355 |
619 |
5 |
123 |
4 |
356 |
623 |
3 |
207 |
2 |
357 |
625 |
7 |
89 |
2 |
358 |
627 |
4 |
156 |
3 |
359 |
630 |
17 |
37 |
1 |
360 |
631 |
2 |
315 |
1 |
361 |
632 |
631 |
1 |
1 |
362 |
633 |
5 |
126 |
3 |
363 |
636 |
5 |
127 |
1 |
364 |
637 |
5 |
127 |
2 |
365 |
639 |
2 |
319 |
1 |
366 |
640 |
127 |
5 |
5 |
367 |
645 |
6 |
107 |
3 |
368 |
648 |
647 |
1 |
1 |
369 |
649 |
2 |
324 |
1 |
370 |
650 |
11 |
59 |
1 |
371 |
651 |
2 |
325 |
1 |
372 |
652 |
5 |
130 |
2 |
373 |
654 |
653 |
1 |
1 |
374 |
655 |
4 |
163 |
3 |
375 |
658 |
3 |
219 |
1 |
376 |
659 |
3 |
219 |
2 |
377 |
661 |
7 |
94 |
3 |
378 |
664 |
331 |
2 |
2 |
379 |
666 |
5 |
133 |
1 |
380 |
667 |
5 |
133 |
2 |
381 |
669 |
6 |
111 |
3 |
382 |
672 |
11 |
61 |
1 |
383 |
673 |
11 |
61 |
2 |
384 |
675 |
2 |
337 |
1 |
385 |
676 |
337 |
2 |
2 |
386 |
678 |
5 |
135 |
3 |
387 |
681 |
2 |
340 |
1 |
388 |
682 |
7 |
97 |
3 |
389 |
685 |
2 |
342 |
1 |
390 |
686 |
5 |
137 |
1 |
391 |
687 |
2 |
343 |
1 |
392 |
688 |
11 |
62 |
6 |
393 |
694 |
4 |
173 |
2 |
394 |
696 |
5 |
139 |
1 |
395 |
697 |
5 |
139 |
2 |
396 |
699 |
2 |
349 |
1 |
397 |
700 |
349 |
2 |
2 |
398 |
702 |
701 |
1 |
1 |
399 |
703 |
2 |
351 |
1 |
400 |
704 |
3 |
234 |
2 |
401 |
706 |
4 |
176 |
2 |
402 |
708 |
7 |
101 |
1 |
403 |
709 |
7 |
101 |
2 |
404 |
711 |
709 |
1 |
2 |
405 |
713 |
2 |
356 |
1 |
406 |
714 |
23 |
31 |
1 |
407 |
715 |
4 |
178 |
3 |
408 |
718 |
5 |
143 |
3 |
409 |
721 |
359 |
2 |
3 |
410 |
724 |
7 |
103 |
3 |
411 |
727 |
5 |
145 |
2 |
412 |
729 |
727 |
1 |
2 |
413 |
731 |
2 |
365 |
1 |
414 |
732 |
9 |
81 |
3 |
415 |
735 |
4 |
183 |
3 |
416 |
738 |
11 |
67 |
1 |
417 |
739 |
11 |
67 |
2 |
418 |
741 |
2 |
370 |
1 |
419 |
742 |
4 |
185 |
2 |
420 |
744 |
13 |
57 |
3 |
421 |
747 |
2 |
373 |
1 |
422 |
748 |
3 |
249 |
1 |
423 |
749 |
2 |
374 |
1 |
424 |
750 |
7 |
107 |
1 |
425 |
751 |
373 |
2 |
5 |
426 |
756 |
5 |
151 |
1 |
427 |
757 |
2 |
378 |
1 |
428 |
758 |
757 |
1 |
1 |
429 |
759 |
2 |
379 |
1 |
430 |
760 |
379 |
2 |
2 |
431 |
762 |
11 |
69 |
3 |
432 |
765 |
2 |
382 |
1 |
433 |
766 |
7 |
109 |
3 |
434 |
769 |
13 |
59 |
2 |
435 |
771 |
2 |
385 |
1 |
436 |
772 |
13 |
59 |
5 |
437 |
777 |
6 |
129 |
3 |
438 |
780 |
19 |
41 |
1 |
439 |
781 |
19 |
41 |
2 |
440 |
783 |
2 |
391 |
1 |
441 |
784 |
3 |
261 |
1 |
442 |
785 |
2 |
392 |
1 |
443 |
786 |
17 |
46 |
4 |
444 |
790 |
4 |
197 |
2 |
445 |
792 |
5 |
158 |
2 |
446 |
794 |
13 |
61 |
1 |
447 |
795 |
2 |
397 |
1 |
448 |
796 |
7 |
113 |
5 |
449 |
801 |
2 |
400 |
1 |
450 |
802 |
4 |
200 |
2 |
451 |
804 |
11 |
73 |
1 |
452 |
805 |
11 |
73 |
2 |
453 |
807 |
2 |
403 |
1 |
454 |
808 |
6 |
134 |
4 |
455 |
812 |
811 |
1 |
1 |
456 |
813 |
2 |
406 |
1 |
457 |
814 |
4 |
203 |
2 |
458 |
816 |
271 |
3 |
3 |
459 |
819 |
2 |
409 |
1 |
460 |
820 |
3 |
273 |
1 |
461 |
821 |
3 |
273 |
2 |
462 |
823 |
821 |
1 |
2 |
463 |
825 |
2 |
412 |
1 |
464 |
826 |
4 |
206 |
2 |
465 |
828 |
7 |
118 |
2 |
466 |
830 |
3 |
276 |
2 |
467 |
832 |
829 |
1 |
3 |
468 |
835 |
7 |
119 |
2 |
469 |
837 |
5 |
167 |
2 |
470 |
839 |
2 |
419 |
1 |
471 |
840 |
839 |
1 |
1 |
472 |
841 |
839 |
1 |
2 |
473 |
843 |
4 |
210 |
3 |
474 |
846 |
5 |
169 |
1 |
475 |
847 |
2 |
423 |
1 |
476 |
848 |
281 |
3 |
5 |
477 |
853 |
5 |
170 |
3 |
478 |
856 |
7 |
122 |
2 |
479 |
858 |
5 |
171 |
3 |
480 |
861 |
2 |
430 |
1 |
481 |
862 |
4 |
215 |
2 |
482 |
864 |
863 |
1 |
1 |
483 |
865 |
863 |
1 |
2 |
484 |
867 |
4 |
216 |
3 |
485 |
870 |
11 |
79 |
1 |
486 |
871 |
4 |
217 |
3 |
487 |
874 |
3 |
291 |
1 |
488 |
875 |
2 |
437 |
1 |
489 |
876 |
5 |
175 |
1 |
490 |
877 |
5 |
175 |
2 |
491 |
879 |
4 |
219 |
3 |
492 |
882 |
881 |
1 |
1 |
493 |
883 |
881 |
1 |
2 |
494 |
885 |
2 |
442 |
1 |
495 |
886 |
883 |
1 |
3 |
496 |
889 |
5 |
177 |
4 |
497 |
893 |
2 |
446 |
1 |
498 |
894 |
19 |
47 |
1 |
499 |
895 |
19 |
47 |
2 |
500 |
897 |
2 |
448 |
1 |