A029774 -id:A029774 - cp's OEIS frontend

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

Patrick De Geest

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

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

Cf. A029774.

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

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

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

A258231 Numbers n such that both n and n squared contain exactly the same digits, and n is not divisible by 10.

Original entry on oeis.org

1, 4762, 4832, 10376, 10493, 11205, 12385, 14829, 23506, 24605, 26394, 34196, 36215, 48302, 49827, 68474, 71205, 72576, 74528, 79286, 79603, 79836, 94583, 94867, 96123, 98376, 100469, 100496, 100498, 100499, 100946, 102245, 102953, 103265, 103479, 103756

Offset: 1

Harvey P. Dale, Apr 23 2016

If n is in this sequence, then n*10^k also satisfies the first portion of the definition for all k >= 0.

			4832 is a term because 4832 squared = 23348224 which contains exactly the same digits as 4832.

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Cf. A029774, A029793, A257763.

Select[Select[Range[200000],ContainsExactly[IntegerDigits[ #], IntegerDigits[ #^2]]&], !Divisible[#,10]&]

A258231_list = [n for n in range(10**6) if n % 10 and set(str(n)) == set(str(n**2))] # Chai Wah Wu, Apr 23 2016

cp's OEIS Frontend

A029775 Squares k^2 whose digits appear in k.

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