Decomposition of A052040 - 2D graph - First 500 terms
Numbers n such that n^2 lacks the digit zero in its decimal expansion.
n |
a052040 |
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 |
2 |
2 |
1 |
6 |
6 |
5 |
1 |
1 |
7 |
7 |
2 |
3 |
1 |
8 |
8 |
7 |
1 |
1 |
9 |
9 |
7 |
1 |
2 |
10 |
11 |
2 |
5 |
1 |
11 |
12 |
11 |
1 |
1 |
12 |
13 |
2 |
6 |
1 |
13 |
14 |
13 |
1 |
1 |
14 |
15 |
2 |
7 |
1 |
15 |
16 |
3 |
5 |
1 |
16 |
17 |
2 |
8 |
1 |
17 |
18 |
17 |
1 |
1 |
18 |
19 |
17 |
1 |
2 |
19 |
21 |
2 |
10 |
1 |
20 |
22 |
3 |
7 |
1 |
21 |
23 |
2 |
11 |
1 |
22 |
24 |
23 |
1 |
1 |
23 |
25 |
2 |
12 |
1 |
24 |
26 |
5 |
5 |
1 |
25 |
27 |
2 |
13 |
1 |
26 |
28 |
3 |
9 |
1 |
27 |
29 |
3 |
9 |
2 |
28 |
31 |
4 |
7 |
3 |
29 |
34 |
3 |
11 |
1 |
30 |
35 |
2 |
17 |
1 |
31 |
36 |
5 |
7 |
1 |
32 |
37 |
2 |
18 |
1 |
33 |
38 |
37 |
1 |
1 |
34 |
39 |
37 |
1 |
2 |
35 |
41 |
2 |
20 |
1 |
36 |
42 |
41 |
1 |
1 |
37 |
43 |
2 |
21 |
1 |
38 |
44 |
3 |
14 |
2 |
39 |
46 |
19 |
2 |
8 |
40 |
54 |
4 |
13 |
2 |
41 |
56 |
5 |
11 |
1 |
42 |
57 |
2 |
28 |
1 |
43 |
58 |
3 |
19 |
1 |
44 |
59 |
3 |
19 |
2 |
45 |
61 |
2 |
30 |
1 |
46 |
62 |
61 |
1 |
1 |
47 |
63 |
61 |
1 |
2 |
48 |
65 |
2 |
32 |
1 |
49 |
66 |
5 |
13 |
1 |
50 |
67 |
2 |
33 |
1 |
51 |
68 |
67 |
1 |
1 |
52 |
69 |
6 |
11 |
3 |
53 |
72 |
71 |
1 |
1 |
54 |
73 |
2 |
36 |
1 |
55 |
74 |
73 |
1 |
1 |
56 |
75 |
2 |
37 |
1 |
57 |
76 |
3 |
25 |
1 |
58 |
77 |
3 |
25 |
2 |
59 |
79 |
7 |
11 |
2 |
60 |
81 |
2 |
40 |
1 |
61 |
82 |
3 |
27 |
1 |
62 |
83 |
3 |
27 |
2 |
63 |
85 |
2 |
42 |
1 |
64 |
86 |
5 |
17 |
1 |
65 |
87 |
2 |
43 |
1 |
66 |
88 |
3 |
29 |
1 |
67 |
89 |
3 |
29 |
2 |
68 |
91 |
2 |
45 |
1 |
69 |
92 |
7 |
13 |
1 |
70 |
93 |
2 |
46 |
1 |
71 |
94 |
4 |
23 |
2 |
72 |
96 |
43 |
2 |
10 |
73 |
106 |
3 |
35 |
1 |
74 |
107 |
2 |
53 |
1 |
75 |
108 |
107 |
1 |
1 |
76 |
109 |
107 |
1 |
2 |
77 |
111 |
2 |
55 |
1 |
78 |
112 |
3 |
37 |
1 |
79 |
113 |
2 |
56 |
1 |
80 |
114 |
113 |
1 |
1 |
81 |
115 |
2 |
57 |
1 |
82 |
116 |
5 |
23 |
1 |
83 |
117 |
2 |
58 |
1 |
84 |
118 |
3 |
39 |
1 |
85 |
119 |
3 |
39 |
2 |
86 |
121 |
2 |
60 |
1 |
87 |
122 |
11 |
11 |
1 |
88 |
123 |
2 |
61 |
1 |
89 |
124 |
3 |
41 |
1 |
90 |
125 |
2 |
62 |
1 |
91 |
126 |
5 |
25 |
1 |
92 |
127 |
2 |
63 |
1 |
93 |
128 |
127 |
1 |
1 |
94 |
129 |
127 |
1 |
2 |
95 |
131 |
2 |
65 |
1 |
96 |
132 |
131 |
1 |
1 |
97 |
133 |
2 |
66 |
1 |
98 |
134 |
7 |
19 |
1 |
99 |
135 |
2 |
67 |
1 |
100 |
136 |
3 |
45 |
1 |
101 |
137 |
3 |
45 |
2 |
102 |
139 |
137 |
1 |
2 |
103 |
141 |
8 |
17 |
5 |
104 |
146 |
23 |
6 |
8 |
105 |
154 |
4 |
38 |
2 |
106 |
156 |
5 |
31 |
1 |
107 |
157 |
2 |
78 |
1 |
108 |
158 |
157 |
1 |
1 |
109 |
159 |
157 |
1 |
2 |
110 |
161 |
2 |
80 |
1 |
111 |
162 |
7 |
23 |
1 |
112 |
163 |
2 |
81 |
1 |
113 |
164 |
163 |
1 |
1 |
114 |
165 |
2 |
82 |
1 |
115 |
166 |
3 |
55 |
1 |
116 |
167 |
2 |
83 |
1 |
117 |
168 |
167 |
1 |
1 |
118 |
169 |
167 |
1 |
2 |
119 |
171 |
2 |
85 |
1 |
120 |
172 |
3 |
57 |
1 |
121 |
173 |
13 |
13 |
4 |
122 |
177 |
2 |
88 |
1 |
123 |
178 |
5 |
35 |
3 |
124 |
181 |
2 |
90 |
1 |
125 |
182 |
181 |
1 |
1 |
126 |
183 |
2 |
91 |
1 |
127 |
184 |
3 |
61 |
1 |
128 |
185 |
2 |
92 |
1 |
129 |
186 |
5 |
37 |
1 |
130 |
187 |
2 |
93 |
1 |
131 |
188 |
11 |
17 |
1 |
132 |
189 |
11 |
17 |
2 |
133 |
191 |
2 |
95 |
1 |
134 |
192 |
191 |
1 |
1 |
135 |
193 |
2 |
96 |
1 |
136 |
194 |
3 |
64 |
2 |
137 |
196 |
47 |
4 |
8 |
138 |
204 |
101 |
2 |
2 |
139 |
206 |
5 |
41 |
1 |
140 |
207 |
2 |
103 |
1 |
141 |
208 |
3 |
69 |
1 |
142 |
209 |
3 |
69 |
2 |
143 |
211 |
2 |
105 |
1 |
144 |
212 |
211 |
1 |
1 |
145 |
213 |
2 |
106 |
1 |
146 |
214 |
3 |
71 |
1 |
147 |
215 |
2 |
107 |
1 |
148 |
216 |
107 |
2 |
2 |
149 |
218 |
7 |
31 |
1 |
150 |
219 |
7 |
31 |
2 |
151 |
221 |
2 |
110 |
1 |
152 |
222 |
13 |
17 |
1 |
153 |
223 |
73 |
3 |
4 |
154 |
227 |
2 |
113 |
1 |
155 |
228 |
227 |
1 |
1 |
156 |
229 |
227 |
1 |
2 |
157 |
231 |
2 |
115 |
1 |
158 |
232 |
3 |
77 |
1 |
159 |
233 |
2 |
116 |
1 |
160 |
234 |
233 |
1 |
1 |
161 |
235 |
2 |
117 |
1 |
162 |
236 |
5 |
47 |
1 |
163 |
237 |
2 |
118 |
1 |
164 |
238 |
3 |
79 |
1 |
165 |
239 |
4 |
59 |
3 |
166 |
242 |
3 |
80 |
2 |
167 |
244 |
13 |
18 |
10 |
168 |
254 |
3 |
84 |
2 |
169 |
256 |
127 |
2 |
2 |
170 |
258 |
5 |
51 |
3 |
171 |
261 |
2 |
130 |
1 |
172 |
262 |
3 |
87 |
1 |
173 |
263 |
2 |
131 |
1 |
174 |
264 |
9 |
29 |
3 |
175 |
267 |
2 |
133 |
1 |
176 |
268 |
3 |
89 |
1 |
177 |
269 |
3 |
89 |
2 |
178 |
271 |
2 |
135 |
1 |
179 |
272 |
271 |
1 |
1 |
180 |
273 |
271 |
1 |
2 |
181 |
275 |
2 |
137 |
1 |
182 |
276 |
5 |
55 |
1 |
183 |
277 |
2 |
138 |
1 |
184 |
278 |
277 |
1 |
1 |
185 |
279 |
277 |
1 |
2 |
186 |
281 |
2 |
140 |
1 |
187 |
282 |
9 |
31 |
3 |
188 |
285 |
2 |
142 |
1 |
189 |
286 |
3 |
95 |
1 |
190 |
287 |
2 |
143 |
1 |
191 |
288 |
7 |
41 |
1 |
192 |
289 |
7 |
41 |
2 |
193 |
291 |
2 |
145 |
1 |
194 |
292 |
3 |
97 |
1 |
195 |
293 |
2 |
146 |
1 |
196 |
294 |
4 |
73 |
2 |
197 |
296 |
9 |
32 |
8 |
198 |
304 |
151 |
2 |
2 |
199 |
306 |
5 |
61 |
1 |
200 |
307 |
2 |
153 |
1 |
201 |
308 |
307 |
1 |
1 |
202 |
309 |
307 |
1 |
2 |
203 |
311 |
2 |
155 |
1 |
204 |
312 |
311 |
1 |
1 |
205 |
313 |
2 |
156 |
1 |
206 |
314 |
313 |
1 |
1 |
207 |
315 |
2 |
157 |
1 |
208 |
316 |
149 |
2 |
18 |
209 |
334 |
3 |
111 |
1 |
210 |
335 |
2 |
167 |
1 |
211 |
336 |
5 |
67 |
1 |
212 |
337 |
2 |
168 |
1 |
213 |
338 |
337 |
1 |
1 |
214 |
339 |
337 |
1 |
2 |
215 |
341 |
2 |
170 |
1 |
216 |
342 |
11 |
31 |
1 |
217 |
343 |
2 |
171 |
1 |
218 |
344 |
3 |
114 |
2 |
219 |
346 |
13 |
26 |
8 |
220 |
354 |
4 |
88 |
2 |
221 |
356 |
5 |
71 |
1 |
222 |
357 |
2 |
178 |
1 |
223 |
358 |
3 |
119 |
1 |
224 |
359 |
5 |
71 |
4 |
225 |
363 |
2 |
181 |
1 |
226 |
364 |
3 |
121 |
1 |
227 |
365 |
2 |
182 |
1 |
228 |
366 |
5 |
73 |
1 |
229 |
367 |
2 |
183 |
1 |
230 |
368 |
367 |
1 |
1 |
231 |
369 |
367 |
1 |
2 |
232 |
371 |
2 |
185 |
1 |
233 |
372 |
7 |
53 |
1 |
234 |
373 |
2 |
186 |
1 |
235 |
374 |
3 |
124 |
2 |
236 |
376 |
3 |
125 |
1 |
237 |
377 |
2 |
188 |
1 |
238 |
378 |
13 |
29 |
1 |
239 |
379 |
13 |
29 |
2 |
240 |
381 |
2 |
190 |
1 |
241 |
382 |
3 |
127 |
1 |
242 |
383 |
2 |
191 |
1 |
243 |
384 |
383 |
1 |
1 |
244 |
385 |
2 |
192 |
1 |
245 |
386 |
5 |
77 |
1 |
246 |
387 |
5 |
77 |
2 |
247 |
389 |
3 |
129 |
2 |
248 |
391 |
2 |
195 |
1 |
249 |
392 |
17 |
23 |
1 |
250 |
393 |
2 |
196 |
1 |
251 |
394 |
4 |
98 |
2 |
252 |
396 |
97 |
4 |
8 |
253 |
404 |
3 |
134 |
2 |
254 |
406 |
3 |
135 |
1 |
255 |
407 |
2 |
203 |
1 |
256 |
408 |
11 |
37 |
1 |
257 |
409 |
11 |
37 |
2 |
258 |
411 |
2 |
205 |
1 |
259 |
412 |
5 |
82 |
2 |
260 |
414 |
7 |
59 |
1 |
261 |
415 |
7 |
59 |
2 |
262 |
417 |
2 |
208 |
1 |
263 |
418 |
3 |
139 |
1 |
264 |
419 |
3 |
139 |
2 |
265 |
421 |
419 |
1 |
2 |
266 |
423 |
2 |
211 |
1 |
267 |
424 |
211 |
2 |
2 |
268 |
426 |
5 |
85 |
1 |
269 |
427 |
2 |
213 |
1 |
270 |
428 |
5 |
85 |
3 |
271 |
431 |
2 |
215 |
1 |
272 |
432 |
431 |
1 |
1 |
273 |
433 |
2 |
216 |
1 |
274 |
434 |
433 |
1 |
1 |
275 |
435 |
4 |
108 |
3 |
276 |
438 |
19 |
23 |
1 |
277 |
439 |
19 |
23 |
2 |
278 |
441 |
2 |
220 |
1 |
279 |
442 |
3 |
147 |
1 |
280 |
443 |
2 |
221 |
1 |
281 |
444 |
13 |
34 |
2 |
282 |
446 |
431 |
1 |
15 |
283 |
461 |
2 |
230 |
1 |
284 |
462 |
461 |
1 |
1 |
285 |
463 |
2 |
231 |
1 |
286 |
464 |
463 |
1 |
1 |
287 |
465 |
2 |
232 |
1 |
288 |
466 |
463 |
1 |
3 |
289 |
469 |
467 |
1 |
2 |
290 |
471 |
2 |
235 |
1 |
291 |
472 |
3 |
157 |
1 |
292 |
473 |
2 |
236 |
1 |
293 |
474 |
11 |
43 |
1 |
294 |
475 |
2 |
237 |
1 |
295 |
476 |
5 |
95 |
1 |
296 |
477 |
2 |
238 |
1 |
297 |
478 |
3 |
159 |
1 |
298 |
479 |
3 |
159 |
2 |
299 |
481 |
2 |
240 |
1 |
300 |
482 |
13 |
37 |
1 |
301 |
483 |
2 |
241 |
1 |
302 |
484 |
3 |
161 |
1 |
303 |
485 |
2 |
242 |
1 |
304 |
486 |
5 |
97 |
1 |
305 |
487 |
2 |
243 |
1 |
306 |
488 |
487 |
1 |
1 |
307 |
489 |
467 |
1 |
22 |
308 |
511 |
2 |
255 |
1 |
309 |
512 |
7 |
73 |
1 |
310 |
513 |
2 |
256 |
1 |
311 |
514 |
3 |
171 |
1 |
312 |
515 |
2 |
257 |
1 |
313 |
516 |
5 |
103 |
1 |
314 |
517 |
2 |
258 |
1 |
315 |
518 |
11 |
47 |
1 |
316 |
519 |
11 |
47 |
2 |
317 |
521 |
2 |
260 |
1 |
318 |
522 |
521 |
1 |
1 |
319 |
523 |
2 |
261 |
1 |
320 |
524 |
523 |
1 |
1 |
321 |
525 |
2 |
262 |
1 |
322 |
526 |
3 |
175 |
1 |
323 |
527 |
2 |
263 |
1 |
324 |
528 |
17 |
31 |
1 |
325 |
529 |
17 |
31 |
2 |
326 |
531 |
4 |
132 |
3 |
327 |
534 |
13 |
41 |
1 |
328 |
535 |
2 |
267 |
1 |
329 |
536 |
5 |
107 |
1 |
330 |
537 |
2 |
268 |
1 |
331 |
538 |
5 |
107 |
3 |
332 |
541 |
2 |
270 |
1 |
333 |
542 |
541 |
1 |
1 |
334 |
543 |
2 |
271 |
1 |
335 |
544 |
271 |
2 |
2 |
336 |
546 |
89 |
6 |
12 |
337 |
558 |
557 |
1 |
1 |
338 |
559 |
557 |
1 |
2 |
339 |
561 |
2 |
280 |
1 |
340 |
562 |
3 |
187 |
1 |
341 |
563 |
3 |
187 |
2 |
342 |
565 |
563 |
1 |
2 |
343 |
567 |
2 |
283 |
1 |
344 |
568 |
3 |
189 |
1 |
345 |
569 |
283 |
2 |
3 |
346 |
572 |
571 |
1 |
1 |
347 |
573 |
2 |
286 |
1 |
348 |
574 |
4 |
143 |
2 |
349 |
576 |
5 |
115 |
1 |
350 |
577 |
5 |
115 |
2 |
351 |
579 |
577 |
1 |
2 |
352 |
581 |
2 |
290 |
1 |
353 |
582 |
7 |
83 |
1 |
354 |
583 |
7 |
83 |
2 |
355 |
585 |
2 |
292 |
1 |
356 |
586 |
3 |
195 |
1 |
357 |
587 |
2 |
293 |
1 |
358 |
588 |
587 |
1 |
1 |
359 |
589 |
587 |
1 |
2 |
360 |
591 |
19 |
31 |
2 |
361 |
593 |
2 |
296 |
1 |
362 |
594 |
4 |
148 |
2 |
363 |
596 |
12 |
49 |
8 |
364 |
604 |
7 |
86 |
2 |
365 |
606 |
5 |
121 |
1 |
366 |
607 |
2 |
303 |
1 |
367 |
608 |
5 |
121 |
3 |
368 |
611 |
2 |
305 |
1 |
369 |
612 |
13 |
47 |
1 |
370 |
613 |
2 |
306 |
1 |
371 |
614 |
613 |
1 |
1 |
372 |
615 |
2 |
307 |
1 |
373 |
616 |
307 |
2 |
2 |
374 |
618 |
617 |
1 |
1 |
375 |
619 |
617 |
1 |
2 |
376 |
621 |
2 |
310 |
1 |
377 |
622 |
3 |
207 |
1 |
378 |
623 |
2 |
311 |
1 |
379 |
624 |
311 |
2 |
2 |
380 |
626 |
5 |
125 |
1 |
381 |
627 |
2 |
313 |
1 |
382 |
628 |
3 |
209 |
1 |
383 |
629 |
3 |
209 |
2 |
384 |
631 |
2 |
315 |
1 |
385 |
632 |
311 |
2 |
10 |
386 |
642 |
641 |
1 |
1 |
387 |
643 |
2 |
321 |
1 |
388 |
644 |
3 |
214 |
2 |
389 |
646 |
11 |
58 |
8 |
390 |
654 |
7 |
93 |
3 |
391 |
657 |
2 |
328 |
1 |
392 |
658 |
3 |
219 |
1 |
393 |
659 |
3 |
219 |
2 |
394 |
661 |
2 |
330 |
1 |
395 |
662 |
661 |
1 |
1 |
396 |
663 |
661 |
1 |
2 |
397 |
665 |
2 |
332 |
1 |
398 |
666 |
5 |
133 |
1 |
399 |
667 |
2 |
333 |
1 |
400 |
668 |
23 |
29 |
1 |
401 |
669 |
6 |
111 |
3 |
402 |
672 |
11 |
61 |
1 |
403 |
673 |
2 |
336 |
1 |
404 |
674 |
673 |
1 |
1 |
405 |
675 |
2 |
337 |
1 |
406 |
676 |
3 |
225 |
1 |
407 |
677 |
2 |
338 |
1 |
408 |
678 |
5 |
135 |
3 |
409 |
681 |
2 |
340 |
1 |
410 |
682 |
3 |
227 |
1 |
411 |
683 |
2 |
341 |
1 |
412 |
684 |
683 |
1 |
1 |
413 |
685 |
683 |
1 |
2 |
414 |
687 |
2 |
343 |
1 |
415 |
688 |
3 |
229 |
1 |
416 |
689 |
3 |
229 |
2 |
417 |
691 |
2 |
345 |
1 |
418 |
692 |
3 |
230 |
2 |
419 |
694 |
4 |
173 |
2 |
420 |
696 |
16 |
43 |
8 |
421 |
704 |
3 |
234 |
2 |
422 |
706 |
3 |
235 |
1 |
423 |
707 |
233 |
3 |
8 |
424 |
715 |
2 |
357 |
1 |
425 |
716 |
3 |
238 |
2 |
426 |
718 |
3 |
239 |
1 |
427 |
719 |
3 |
239 |
2 |
428 |
721 |
2 |
360 |
1 |
429 |
722 |
7 |
103 |
1 |
430 |
723 |
2 |
361 |
1 |
431 |
724 |
3 |
241 |
1 |
432 |
725 |
3 |
241 |
2 |
433 |
727 |
2 |
363 |
1 |
434 |
728 |
727 |
1 |
1 |
435 |
729 |
727 |
1 |
2 |
436 |
731 |
2 |
365 |
1 |
437 |
732 |
17 |
43 |
1 |
438 |
733 |
2 |
366 |
1 |
439 |
734 |
3 |
244 |
2 |
440 |
736 |
3 |
245 |
1 |
441 |
737 |
2 |
368 |
1 |
442 |
738 |
11 |
67 |
1 |
443 |
739 |
367 |
2 |
5 |
444 |
744 |
7 |
106 |
2 |
445 |
746 |
9 |
82 |
8 |
446 |
754 |
4 |
188 |
2 |
447 |
756 |
13 |
58 |
2 |
448 |
758 |
5 |
151 |
3 |
449 |
761 |
3 |
253 |
2 |
450 |
763 |
2 |
381 |
1 |
451 |
764 |
7 |
109 |
1 |
452 |
765 |
2 |
382 |
1 |
453 |
766 |
3 |
255 |
1 |
454 |
767 |
2 |
383 |
1 |
455 |
768 |
13 |
59 |
1 |
456 |
769 |
13 |
59 |
2 |
457 |
771 |
2 |
385 |
1 |
458 |
772 |
3 |
257 |
1 |
459 |
773 |
191 |
4 |
9 |
460 |
782 |
3 |
260 |
2 |
461 |
784 |
3 |
261 |
1 |
462 |
785 |
2 |
392 |
1 |
463 |
786 |
5 |
157 |
1 |
464 |
787 |
5 |
157 |
2 |
465 |
789 |
787 |
1 |
2 |
466 |
791 |
2 |
395 |
1 |
467 |
792 |
7 |
113 |
1 |
468 |
793 |
5 |
158 |
3 |
469 |
796 |
197 |
4 |
8 |
470 |
804 |
401 |
2 |
2 |
471 |
806 |
5 |
161 |
1 |
472 |
807 |
2 |
403 |
1 |
473 |
808 |
3 |
269 |
1 |
474 |
809 |
3 |
269 |
2 |
475 |
811 |
2 |
405 |
1 |
476 |
812 |
3 |
270 |
2 |
477 |
814 |
3 |
271 |
1 |
478 |
815 |
2 |
407 |
1 |
479 |
816 |
5 |
163 |
1 |
480 |
817 |
2 |
408 |
1 |
481 |
818 |
11 |
74 |
4 |
482 |
822 |
821 |
1 |
1 |
483 |
823 |
2 |
411 |
1 |
484 |
824 |
3 |
274 |
2 |
485 |
826 |
3 |
275 |
1 |
486 |
827 |
2 |
413 |
1 |
487 |
828 |
827 |
1 |
1 |
488 |
829 |
7 |
118 |
3 |
489 |
832 |
3 |
277 |
1 |
490 |
833 |
2 |
416 |
1 |
491 |
834 |
7 |
119 |
1 |
492 |
835 |
2 |
417 |
1 |
493 |
836 |
9 |
92 |
8 |
494 |
844 |
421 |
2 |
2 |
495 |
846 |
419 |
2 |
8 |
496 |
854 |
3 |
284 |
2 |
497 |
856 |
3 |
285 |
1 |
498 |
857 |
2 |
428 |
1 |
499 |
858 |
857 |
1 |
1 |
500 |
859 |
857 |
1 |
2 |