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A199630
Numbers having each digit once and whose square has each digit twice.
12
3175462089, 3175804269, 3204957816, 3206549178, 3210754689, 3254196708, 3260974851, 3275409816, 3284591706, 3290581476, 3406829517, 3410856297, 3459186720, 3469857012, 3475806912, 3501249678, 3512067849, 3519876240, 3549716208, 3564980172, 3587902614
OFFSET
1,1
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 * A374023 A198298 A074773
KEYWORD
nonn,base,fini,full
AUTHOR
T. D. Noe, Nov 09 2011
STATUS
approved