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

Offset: 1

Author

Patrick De Geest

Keywords

• nonn
• base

Examples

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

Links

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

Crossrefs

Cf. A029774.

Programs

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

Formula

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

Extensions

Title improved and more terms from Sean A. Irvine, Mar 04 2020