A235718 Squares which have one or more occurrences of exactly three different digits.

169, 196, 256, 289, 324, 361, 529, 576, 625, 729, 784, 841, 961, 1156, 1225, 1521, 1600, 1681, 2025, 2116, 2209, 2500, 3136, 3364, 3600, 3844, 3969, 4225, 4489, 4624, 4900, 5625, 5776, 5929, 6400, 6561, 6889, 7225, 8100, 8281, 8464, 8836, 9409, 10201, 10404

Offset: 1

Author

Colin Barker, Jan 15 2014

Keywords

• nonn
• base

Comments

The first term having a repeated digit is 1156.

Examples

			5929 is in the sequence because 5929 = 77^2 and 5929 contains exactly three different digits: 2, 5 and 9.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..12299 (terms < 10^36, first 600 terms from Colin Barker)

Crossrefs

Cf. A054031, A225218, A235717, A235719-A235724.

Programs

PARI

s=[]; for(n=1, 200, if(#vecsort(eval(Vec(Str(n^2))),,8)==3, s=concat(s, n^2))); s

Formula

a(n) = A054031(n)^2.