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A087472 Number of iterations required for the function f(n) to reach a single digit, where f(n) is the product of the two numbers formed from the alternating digits of n. +0
5
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, 1, 1, 1, 1, 1, 1 (list; graph; listen)
OFFSET

1,25

COMMENT

A087471(n) gives the final digit reached by successive iterations of Murthy's function, f(n). A087473(n) gives the smallest number that requires n iterations of Murthy's function to reach a single digit. The n-th row of triangle A087474 gives the n successive iterations of Murthy's function on A087473(n).

EXAMPLE

a(1234)= 3 since f(1234)=13*24=312, f(312)=32*1=32, and

f(32)=3*2=6.

CROSSREFS

Cf. A087471, A087473, A087474.

Sequence in context: A063059 A102675 A031346 this_sequence A054348 A037813 A083534

Adjacent sequences: A087469 A087470 A087471 this_sequence A087473 A087474 A087475

KEYWORD

nonn,base

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Sep 11 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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