A199630 Numbers having each digit once and whose square has each digit twice.

3175462089, 3175804269, 3204957816, 3206549178, 3210754689, 3254196708, 3260974851, 3275409816, 3284591706, 3290581476, 3406829517, 3410856297, 3459186720, 3469857012, 3475806912, 3501249678, 3512067849, 3519876240, 3549716208, 3564980172, 3587902614

Offset: 1

Author

T. D. Noe, Nov 09 2011

Keywords

• nonn
• base
• fini
• full

Examples

			3175462089^2 = 10083559478676243921.
		

Links

• T. D. Noe, Table of n, a(n) for n = 1..534 (all terms).
• Patrick De Geest, The nine digits (page 4) with some ten digit (pandigital) exceptions
• Author?, All terms

Crossrefs

Cf. A050278 (pandigital numbers), A199631, A365144, A199632, A199633. Subsequence of A114258.

Programs

Mathematica

t = Select[Permutations[Range[0, 9]], #[[1]] > 0 &]; t2 = Select[t, Union[DigitCount[FromDigits[#]^2]] == {2} &]; FromDigits /@ t2