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A101183 Number of times (>0) function f must be applied in A100800 to arrive at multiple of n, or 0 if multiple of n is never reached. 3
1, 1, 1, 1, 1, 1, 1, 1, 1, 14, 32, 3, 12, 36, 3, 31, 10, 2, 71, 8, 8, 8, 11, 8, 67, 8, 3, 35, 35, 10, 31, 53, 22, 45, 38, 4, 59, 70, 44, 27, 27, 19, 44, 36, 5, 14, 47, 42, 33, 66, 16, 33, 42, 11, 105, 151, 5, 92, 69, 7, 7, 48, 6, 23, 20, 22, 7, 62, 22, 145, 7, 7, 20, 7, 58, 7, 184, 44 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

Conjecture: No term is zero.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(10) = 14 since f has to be applied 14 times to 10 to arrive at 130, a multiple of 10.

MAPLE

f:= n -> n + convert(convert(n, base, 10), `+`):

g:= proc(n) local j, t;

  t:= n;

  for j from 1 do

    t:= f(t);

    if t mod n = 0 then return j fi

  od

end proc:

map(g, [$1..100]); # Robert Israel, May 14 2019

CROSSREFS

Cf. A100800, A100801.

Sequence in context: A338389 A196135 A276301 * A101444 A222414 A084194

Adjacent sequences:  A101180 A101181 A101182 * A101184 A101185 A101186

KEYWORD

base,look,nonn

AUTHOR

Ray Chandler, Dec 19 2004

STATUS

approved

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Last modified May 17 10:57 EDT 2021. Contains 343971 sequences. (Running on oeis4.)