A095992 a(1) = 30; for n > 1, a(n+1) = a(n) + {product of nonzero digits of a(n)}.

30, 33, 42, 50, 55, 80, 88, 152, 162, 174, 202, 206, 218, 234, 258, 338, 410, 414, 430, 442, 474, 586, 826, 922, 958, 1318, 1342, 1366, 1474, 1586, 1826, 1922, 1958, 2318, 2366, 2582, 2742, 2854, 3174, 3258, 3498, 4362, 4506, 4626, 4914, 5058, 5258, 5658

Offset

1,1

References

From a puzzle; explanation found by Pierre Roger.

Links

Table of n, a(n) for n=1..48.

Frank Rubin, Number Series

Mathematica

a[1] = 30; a[n_] := a[n] = Block[{s = Sort[ IntegerDigits[a[n - 1]]]}, While[ s[[1]] == 0, s = Drop[s, 1]]; a[n - 1] + Times @@ s]; Table[ a[n], {n, 50}]
nxt[n_] := n+Times@@Select[IntegerDigits[n], #>0&]; NestList[nxt, 30, 50] (* Harvey P. Dale, Jan 08 2011 *)

Crossrefs

Cf. A063108, A096347, A096972, A063108, A063425, A096922, A096923, A096924, A096925, A096926, A096927, A096928, A096929, A096930, A096931, A096973, A096987.

Sequence in context: A095471 A095465 A295693 * A061842 A109226 A218114

Adjacent sequences: A095989 A095990 A095991 * A095993 A095994 A095995

Keyword

nonn,base,easy

Author

Julien Piquet (julipiquet(AT)yahoo.fr), Jul 18 2004

Extensions

The proposer suggests that this web site may contain other sequences also.

Edited and extended by Robert G. Wilson v and Klaus Brockhaus, Jul 20 2004

Status

approved