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 A096972 Number of preimages of n (or immediate predecessors) under map f(k) = k + (product of nonzero digits of k). 3
 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 3, 0, 2, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,12 LINKS Table of n, a(n) for n=1..105. Index entries for Colombian or self numbers and related sequences MATHEMATICA f[n_] := Block[{s = Sort[ IntegerDigits[ n]]}, While[ s[[1]] == 0, s = Drop[s, 1]]; n + Times @@ s]; t = Table[0, {111}]; Do[ t[[f [n]]]++, {n, 111}]; Table[ t[[n]], {n, 105}] CROSSREFS Cf. A063108, A096347, A063425, A096922, A096923, A096924, A096925, A096926, A096927, A096928, A096929, A096930, A096931, A230106 (a variant). Sequence in context: A026611 A277152 A230106 * A101227 A277162 A230103 Adjacent sequences: A096969 A096970 A096971 * A096973 A096974 A096975 KEYWORD easy,nonn,base AUTHOR Robert G. Wilson v, Jul 16 2004 STATUS approved

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Last modified June 13 00:21 EDT 2024. Contains 373362 sequences. (Running on oeis4.)