

A096924


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


8



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
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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 * A031413 A127665 A097037
Adjacent sequences: A096921 A096922 A096923 * A096925 A096926 A096927


KEYWORD

nonn,base


AUTHOR

Klaus Brockhaus, Jul 15 2004


STATUS

approved



