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A096924 Numbers n for which there are exactly three k such that n = k + (product of nonzero digits of k). 8

%I #2 Mar 30 2012 17:27:42

%S 102,110,118,126,134,150,180,202,216,225,234,260,272,312,338,366,404,

%T 414,420,455,456,512,534,542,564,576,586,635,645,712,734,750,786,808,

%U 818,827,837,840,894,920,939,970,980,1018,1020,1034,1042,1072,1074,1075

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

%e 76, 109 and 114 are the only three k such that k + (product of nonzero digits of k) = 118, hence 118 is a term.

%o (PARI) {c=3;z=1100;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, A096923, A096925 - A096931.

%K nonn,base

%O 1,1

%A _Klaus Brockhaus_, Jul 15 2004

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