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

102, 110, 118, 126, 134, 150, 180, 202, 216, 225, 234, 260, 272, 312, 338, 366, 404, 414, 420, 455, 456, 512, 534, 542, 564, 576, 586, 635, 645, 712, 734, 750, 786, 808, 818, 827, 837, 840, 894, 920, 939, 970, 980, 1018, 1020, 1034, 1042, 1072, 1074, 1075

Offset: 1

Author

Klaus Brockhaus, Jul 15 2004

Keywords

• nonn
• base

Examples

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

Crossrefs

Cf. A063114, A096347, A096922, A096923, A096925 - A096931.

Programs

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