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Numbers n for which there are exactly eight k such that n = k + (product of nonzero digits of k).
8

%I #2 Mar 30 2012 17:27:43

%S 101134,101180,101642,108305,204205,216425,220145,220725,231014,

%T 271855,283055,291705,300180,301205,302125,303555,330776,405555,

%U 442055,442395,464255,492055,604425,621136,691865,702145,711486,723205,733585,784985

%N Numbers n for which there are exactly eight k such that n = k + (product of nonzero digits of k).

%e 88846, 97354, 98254, 99514, 100954, 101078, 101086 and 101131 are the only eight k such that k + (product of nonzero digits of k) = 101134, hence 101134 is a term.

%o (PARI) {c=8;z=800000;v=vector(z);for(n=1,z+1,k=addpnd(n);if(k<=z,v[k]=v[k]+1));for(j=1,length(v),if(v[j]==c,print1(j,",")))} \\for function addpnd see A096922

%Y Cf. A063114, A096347, A096922 - A096928, A096930, A096931.

%K nonn,base

%O 1,1

%A _Klaus Brockhaus_, Jul 15 2004