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A205781 Least positive integer j such that n divides C(k)-C(j), where k, as in A205780, is the least number for which there is such a j, and C=A007598 (squared Fibonacci numbers). 0
1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 3, 1, 4, 1, 2, 3, 6, 4, 2, 2, 2, 1, 2, 1, 4, 4, 3, 1, 5, 2, 3, 3, 2, 6, 5, 4, 3, 7, 4, 3, 8, 1, 3, 1, 1, 3, 6, 4, 3, 4, 6, 4, 2, 3, 3, 1, 2, 3, 3, 2, 12, 4, 1, 2, 7, 1, 2, 6, 10, 6, 2, 4, 2, 16, 4, 7, 1, 5, 4, 3, 5, 6, 11, 1, 7, 3, 4, 1, 8, 1, 5, 3, 4, 4, 3, 2, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

For a guide to related sequences, see A204892.

LINKS

Table of n, a(n) for n=1..97.

EXAMPLE

1 divides C(2)-C(1) -> k=2, j=1

2 divides C(3)-C(1) -> k=3, j=1

3 divides C(2)-C(1) -> k=2, j=1

4 divides C(3)-C(1) -> k=3, j=1

5 divides C(3)-C(2) -> k=3, j=2

MATHEMATICA

s = Table[(Fibonacci[n + 1])^2, {n, 1, 120}];

lk = Table[

  NestWhile[# + 1 &, 1,

   Min[Table[Mod[s[[#]] - s[[j]], z], {j, 1, # - 1}]] =!= 0 &], {z, 1,

    Length[s]}]

Table[NestWhile[# + 1 &, 1,

  Mod[s[[lk[[j]]]] - s[[#]], j] =!= 0 &], {j, 1, Length[lk]}]

(* Peter J. C. Moses, Jan 27 2012 *)

CROSSREFS

Cf. A204892, A007598.

Sequence in context: A078349 A266476 A081327 * A280444 A030422 A090001

Adjacent sequences:  A205778 A205779 A205780 * A205782 A205783 A205784

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 01 2012

STATUS

approved

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Last modified October 21 08:27 EDT 2018. Contains 316405 sequences. (Running on oeis4.)