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

1,1

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

Example

3175462089^2 = 10083559478676243921.

Mathematica

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

Crossrefs

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

Sequence in context: A096566 A217051 A198863 * A198298 A074773 A340133

Adjacent sequences: A199627 A199628 A199629 * A199631 A199632 A199633

Keyword

nonn,base,fini,full

Author

T. D. Noe, Nov 09 2011

Status

approved