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A051348 a(n) = F(n) / Product_{p|n} F(p), where F(k) is k-th Fibonacci number and the p's in product are the distinct primes dividing n. 1
1, 1, 1, 3, 1, 4, 1, 21, 17, 11, 1, 72, 1, 29, 61, 987, 1, 1292, 1, 1353, 421, 199, 1, 23184, 15005, 521, 98209, 24447, 1, 83204, 1, 2178309, 19801, 3571, 141961, 7465176, 1, 9349, 135721, 20466831, 1, 10304396, 1, 7880997, 113490317, 64079, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = 1 if n is prime. - Joerg Arndt, Sep 07 2021

EXAMPLE

a(15) = F(15) / (F(3) * F(5)) = 610 / (2*5) = 61.

MATHEMATICA

fib[n_]:=Fibonacci[n]/Times@@(Fibonacci[#]&/@Transpose[ FactorInteger[ n]][[1]]); Array[fib, 50] (* Harvey P. Dale, May 19 2012 *)

CROSSREFS

Cf. A000045.

Sequence in context: A321743 A341766 A131632 * A253828 A190445 A141648

Adjacent sequences: A051345 A051346 A051347 * A051349 A051350 A051351

KEYWORD

nonn

AUTHOR

Leroy Quet

STATUS

approved

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Last modified February 5 23:07 EST 2023. Contains 360091 sequences. (Running on oeis4.)