A248039 Numbers n such that n*A007954(n) contains the same distinct digits as n.

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.

Links

Table of n, a(n) for n=1..43.

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

Adjacent sequences: A248036 A248037 A248038 * A248040 A248041 A248042

Keyword

nonn,base

Author

Derek Orr, Sep 30 2014

Status

approved