A152686 Partial products of the partial products of the nonzero Fibonacci numbers.

1, 1, 1, 2, 12, 360, 86400, 269568000, 17662095360000, 39345496591564800000, 4820704671590339051520000000, 52567343238846954009129910272000000000, 82543717140049422917575408530662149324800000000000

Offset

0,4

Comments

Partial products of A003266.

Links

G. C. Greubel, Table of n, a(n) for n = 0..31

Formula

a(n) = Product_{i=1..n} A003266(i). - R. J. Mathar, Dec 12 2008

a(n) ~ f * ((1+sqrt(5))/2)^(n*(n+1)*(n+2)/6) * C^n / 5^(n*(n+1)/4), where C = A062073 = 1.2267420107203532444176302... is the Fibonacci factorial constant and f = A253267 = 1.096414072507324423110215998844440375945929608777697938465... . - Vaclav Kotesovec, May 01 2015

Mathematica

Table[Product[Product[Fibonacci[k], {k, 1, j}], {j, 1, n}], {n, 1, 12}] (* Vaclav Kotesovec, May 01 2015 *)

Crossrefs

Cf. A001924, A003266, A062381, A253267.

Sequence in context: A061300 A079264 A006939 * A131690 A158261 A215956

Adjacent sequences: A152683 A152684 A152685 * A152687 A152688 A152689

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Dec 10 2008

Extensions

Edited by R. J. Mathar, Dec 12 2008

a(0)=1 prepended by Alois P. Heinz, Sep 14 2018

Status

approved