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A031346 Multiplicative persistence: number of iterations of "multiply digits" needed to reach a number < 10. +0
20
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 4, 3, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2 (list; graph; listen)
OFFSET

0,26

LINKS

T. D. Noe, Table of n, a(n) for n=0..10000

N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A031347.

Sequence in context: A016016 A063059 A102675 this_sequence A087472 A054348 A037813

Adjacent sequences: A031343 A031344 A031345 this_sequence A031347 A031348 A031349

KEYWORD

nonn,base

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified July 4 13:19 EDT 2008. Contains 140839 sequences.


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