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Numbers n such that n + (sum of digits of n) and n + (product of digits of n) contain the same distinct digits of n.
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%I #10 Oct 17 2014 23:54:14

%S 1512,4346,5112,5769,11215,11512,12115,12313,12511,13213,14346,14512,

%T 15112,15211,15412,21115,21313,21511,23113,25111,27369,31213,32113,

%U 34135,34535,41346,41512,43135,43535,45112,51112,51211,51412,52111,52569,53435,53534,53958,54112,54533,56925

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

%C Intersection of A247887 and A247888.

%o (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,", ")))

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

%K nonn,base

%O 1,1

%A _Derek Orr_, Oct 12 2014