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

Author

Derek Orr, Sep 30 2014

Keywords

• nonn
• base

Comments

A002275 is a subsequence, thus this sequence is infinite.

Crossrefs

Cf. A002275 (repunits), A007954 (digit product).

Cf. A247887 (similar, with n + digit sum), A247888 (similar, with n + digit product).

Programs

Magma

[n: n in [0..10^5] | Set(Intseq(n*&*Intseq(n))) eq Set(Intseq(n))]; // Bruno Berselli, Oct 09 2014

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, ", ")))