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A199630 Numbers having each digit once and whose square has each digit twice. 6
3175462089, 3175804269, 3204957816, 3206549178, 3210754689, 3254196708, 3260974851, 3275409816, 3284591706, 3290581476, 3406829517, 3410856297, 3459186720, 3469857012, 3475806912, 3501249678, 3512067849, 3519876240, 3549716208, 3564980172, 3587902614 (list; graph; refs; listen; history; text; internal format)
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

unknown, 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, A114260, A199632, A199633.

Sequence in context: A096566 A217051 A198863 * A198298 A074773 A251523

Adjacent sequences:  A199627 A199628 A199629 * A199631 A199632 A199633

KEYWORD

nonn,base,fini,full

AUTHOR

T. D. Noe, Nov 09 2011

STATUS

approved

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Last modified August 19 08:57 EDT 2017. Contains 290794 sequences.