A247888 Zeroless numbers n such that n + A007954(n) contains the same digits as n.

239, 326, 364, 497, 563, 598, 613, 637, 695, 819, 1215, 1239, 1326, 1364, 1431, 1497, 1512, 1518, 1563, 1598, 1613, 1637, 1695, 1812, 1815, 1819, 2115, 2139, 2313, 2356, 2369, 2419, 2511, 2594, 2639, 2791, 3126, 3213, 3235, 3238, 3259, 3354, 3365, 3561, 4131, 4219, 4346, 4353, 4395

Offset: 1

Author

Derek Orr, Sep 25 2014

Keywords

• nonn
• base
• easy

Crossrefs

Cf. A007954 (product of digits), A052382 (zeroless numbers).

Programs

PARI

for(n=0,10^4,d=digits(n);p=prod(i=1,#d,d[i]);dp=digits(n+p);if(p&&vecsort(d,,8)==vecsort(dp,,8),print1(n,", ")))