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A110731 a(1) = k, a(n) = a(n-1)/ { sum of the digits of a(n-1)} if the result is an integer, otherwise a(n) = a(n)* {sum of the digits of a(n-1)}. 0
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1144, 1, 28, 1, 1, 28, 136, 1, 19, 1, 1, 1144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,11

COMMENTS

For k = 1,2,3... we get the following array 1,1,1,1,... 2,1,1,1,... ... 9,1,1,1,... 10,1,1,1,... 11,22,88,1408,18304,1144,11440,1144,... 12,4,1,1,1,... 13,52,364,28,280,28,280,28,... 14,70,10,1,1,1,1,1... ... Every array reaches a point where terms are periodic a(n) = the periodic term.

LINKS

Table of n, a(n) for n=1..22.

CROSSREFS

Sequence in context: A251773 A116174 A223194 * A265504 A237458 A202312

Adjacent sequences:  A110728 A110729 A110730 * A110732 A110733 A110734

KEYWORD

base,easy,nonn

AUTHOR

Amarnath Murthy, Aug 09 2005

STATUS

approved

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Last modified July 18 19:00 EDT 2019. Contains 325144 sequences. (Running on oeis4.)