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A054037 Numbers n such that n^2 contains exactly 9 different digits. 14
10124, 10128, 10136, 10214, 10278, 11826, 12363, 12543, 12582, 12586, 13147, 13268, 13278, 13343, 13434, 13545, 13698, 14098, 14442, 14676, 14743, 14766, 15353, 15681, 15963, 16549, 16854, 17252, 17529, 17778, 17816, 18072, 19023 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are three prime numbers {13147, 20089, 21397} and corresponding squares {172843609, 403567921, 457831609} necessarily contain zero (otherwise n and n^2 are divisible by 3). - Zak Seidov, Jan 18 2012

LINKS

Zak Seidov, Table of n, a(n) for n = 1..83 (complete sequence)

MAPLE

f := []; for i from 0 to 200 do if nops({op(convert(i^2, base, 10))})=9 then f := [op(f), i] fi; od; f;

MATHEMATICA

okQ[n_] := Module[{n2=n^2}, Max[DigitCount[n2, 10]]==1 && IntegerLength[n2]==9]; Select[Range[20000], okQ]  (* Harvey P. Dale, Mar 20 2011 *)

CROSSREFS

Cf. A016069, A054031, A054032, A054033, A054034, A054035, A054036, A054038, A054039, A156977.

Sequence in context: A157711 A159863 A234180 * A289856 A023066 A248487

Adjacent sequences:  A054034 A054035 A054036 * A054038 A054039 A054040

KEYWORD

nonn,base,fini,full

AUTHOR

Asher Auel (asher.auel(AT)reed.edu), Feb 28 2000

STATUS

approved

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Last modified March 31 19:37 EDT 2020. Contains 333151 sequences. (Running on oeis4.)