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A061899 Fibonacci numbers that are not square-free. +0
3
8, 144, 2584, 46368, 75025, 832040, 14930352, 267914296, 4807526976, 12586269025, 86267571272, 225851433717, 1548008755920, 27777890035288, 498454011879264, 2111485077978050, 8944394323791464, 160500643816367088 (list; graph; listen)
OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,87

EXAMPLE

144 and 2584 are Fibonacci numbers (A000045) and are not square-free: 144 = (2^4)(3^2), 2584 = (2^3)(17)(19).

MATHEMATICA

<< NumberTheory`NumberTheoryFunctions`; a={}; Do[f=Fibonacci[n]; If[ !SquareFreeQ[f], AppendTo[a, f]], {n, 1, 30}]; a (Vladimir Orlovsky, Jul 23 2008)

PROGRAM

(PARI) { n=0; h=g=1; for (i=0, 375, f=g + h; h=g; g=f; if (!issquarefree(f), write("b061899.txt", n++, " ", f)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 28 2009]

CROSSREFS

Cf. A000045, A061305.

Sequence in context: A090931 A112464 A065409 this_sequence A134492 A067421 A124059

Adjacent sequences: A061896 A061897 A061898 this_sequence A061900 A061901 A061902

KEYWORD

nonn,easy

AUTHOR

Asher Auel (asher.auel(AT)reed.edu), May 20 2001

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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