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A052049
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a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.
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12
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88, 478, 577, 583, 715, 836, 880, 881, 893, 3362, 3386, 3911, 4077, 4780, 5077, 5239, 5369, 5770, 5784, 5789, 5830, 5858, 6523, 6756, 6772, 6926, 6941, 7107, 7150, 7359, 7535, 7827, 8043, 8196, 8229, 8360, 8525, 8810, 8930, 8989, 9251, 9701, 9764, 9786
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..5000
P. De Geest, Numbers whose digits occur with same frequency
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EXAMPLE
| 577^2 = 332929, which contains each of its digits (2, 3, and 9) twice, so 577 is in this sequence.
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MAPLE
| isA052049 := proc(n) local d, k, fr, eqfr: d:=convert(n^2, base, 10): eqfr:=true: fr:=numboccur(d[1], d): if(fr=1)then return false: fi: for k from 0 to 9 do if(not member(numboccur(k, d), {fr, 0}))then eqfr:=false: break: fi: od: return eqfr: end: seq(`if`(isA052049(n), n, NULL), n=1..9800); # Nathaniel Johnston, June 02 2011
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CROSSREFS
| Cf. A045540, A052046-A052048, A052050-A052052.
Sequence in context: A003782 A064022 A116065 * A046378 A187176 A183839
Adjacent sequences: A052046 A052047 A052048 * A052050 A052051 A052052
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KEYWORD
| nonn,base
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), Dec 15 1999.
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