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A248039
Numbers n such that n*A007954(n) contains the same distinct digits as n.
0
0, 1, 11, 111, 792, 1111, 1376, 2174, 2841, 11111, 11628, 12168, 12763, 12841, 14213, 14228, 14663, 19842, 24314, 24679, 24738, 24786, 26439, 26731, 26938, 29126, 39117, 39228, 49326, 64113, 76983, 79328, 83694, 83712, 83764, 86429, 87164, 89174, 92387, 92476, 93711, 94831, 98174
OFFSET
1,3
COMMENTS
A002275 is a subsequence, thus this sequence is infinite.
PROG
(PARI)
for(n=0, 10^6, d=digits(n); p=prod(i=1, #d, d[i]); if(vecsort(digits(n), , 8)==vecsort(digits(n*p), , 8), print1(n, ", ")))
(Magma) [n: n in [0..10^5] | Set(Intseq(n*&*Intseq(n))) eq Set(Intseq(n))]; // Bruno Berselli, Oct 09 2014
CROSSREFS
Cf. A002275 (repunits), A007954 (digit product).
Cf. A247887 (similar, with n + digit sum), A247888 (similar, with n + digit product).
Sequence in context: A055657 A049121 A143573 * A244204 A058947 A282912
KEYWORD
nonn,base
AUTHOR
Derek Orr, Sep 30 2014
STATUS
approved