A248718 Numbers n such that n + (sum of digits of n) and n + (product of digits of n) contain the same distinct digits of n.

1512, 4346, 5112, 5769, 11215, 11512, 12115, 12313, 12511, 13213, 14346, 14512, 15112, 15211, 15412, 21115, 21313, 21511, 23113, 25111, 27369, 31213, 32113, 34135, 34535, 41346, 41512, 43135, 43535, 45112, 51112, 51211, 51412, 52111, 52569, 53435, 53534, 53958, 54112, 54533, 56925

Offset

1,1

Comments

Intersection of A247887 and A247888.

Links

Table of n, a(n) for n=1..41.

Prog

(PARI) for(n=0, 10^6, d=digits(n); p=prod(i=1, #d, d[i]); vp=vecsort(digits(p+n), , 8); vs=vecsort(digits(sumdigits(n)+n), , 8); if(vs==vp&&vp==vecsort(d, , 8)&&vs==vecsort(d, , 8)&&p, print1(n, ", ")))

Crossrefs

Cf. A247887, A247888, A007954, A007953, A052382.

Sequence in context: A298223 A060676 A230402 * A255334 A255778 A236091

Adjacent sequences: A248715 A248716 A248717 * A248719 A248720 A248721

Keyword

nonn,base

Author

Derek Orr, Oct 12 2014

Status

approved