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A258231 Numbers n such that both n and n squared contain exactly the same digits, and n is not divisible by 10. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

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

EXAMPLE

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

MATHEMATICA

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

PROG

(Python)

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

CROSSREFS

Cf. A029774, A029793, A257763.

Sequence in context: A237553 A250467 A183267 * A257763 A260293 A031567

Adjacent sequences:  A258228 A258229 A258230 * A258232 A258233 A258234

KEYWORD

nonn,base

AUTHOR

Harvey P. Dale, Apr 23 2016

STATUS

approved

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Last modified May 6 00:41 EDT 2021. Contains 343579 sequences. (Running on oeis4.)