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A096929
Numbers n for which there are exactly eight k such that n = k + (product of nonzero digits of k).
8
101134, 101180, 101642, 108305, 204205, 216425, 220145, 220725, 231014, 271855, 283055, 291705, 300180, 301205, 302125, 303555, 330776, 405555, 442055, 442395, 464255, 492055, 604425, 621136, 691865, 702145, 711486, 723205, 733585, 784985
OFFSET
1,1
EXAMPLE
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.
PROG
(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
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Klaus Brockhaus, Jul 15 2004
STATUS
approved