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

1,1

Links

Table of n, a(n) for n=1..50.

Example

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

Prog

(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

Crossrefs

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

Sequence in context: A070795 A046293 A241179 * A354710 A031413 A127665

Adjacent sequences: A096921 A096922 A096923 * A096925 A096926 A096927

Keyword

nonn,base

Author

Klaus Brockhaus, Jul 15 2004

Status

approved