A029775 - OEIS

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A029775

Squares k^2 whose digits appear in k.

0, 1, 100, 10000, 55225, 1000000, 1100401, 1525225, 5522500, 8898289, 22676644, 23348224, 100000000, 107661376, 110040100, 110103049, 110166016, 119311929, 125552025, 152152225, 152522500, 153388225, 155002500, 160022500, 204204100, 219899241, 262602025

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OFFSET

1,3

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A029774(n)^2. - Sean A. Irvine, Mar 04 2020

EXAMPLE

The digits of 55225 (= 235^2) are a subset of {2,3,5}.

MAPLE

filter:= proc(k) convert(convert(k^2, base, 10), set) subset convert(convert(k, base, 10), set) end proc:

map(t -> t^2, select(filter, [$0..10^5])); # Robert Israel, Aug 25 2024