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

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

Author

Harvey P. Dale, Apr 23 2016

Keywords

• nonn
• base

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A029774, A029793, A257763.

Programs

Mathematica

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

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