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A152479 Products of partition numbers of Fibonacci numbers. 2
1, 1, 1, 2, 6, 42, 924, 93324, 73912608, 909864204480, 410599878740916480, 20528320742539954765344000, 462721784193718931971550165554080000, 28136323479948516473366521258111350797954332320000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Robert Israel, Table of n, a(n) for n = 1..24

FORMULA

a(n) = Prod_{1<=j<=n-1} A072214(j). - Robert Israel, Oct 20 2016

MAPLE

A072214:= [seq(combinat:-numbpart(combinat:-fibonacci(n)), n=1..20)]:

seq(mul(A072214[i], i=1..n-1), n=1..20); # Robert Israel, Oct 20 2016

MATHEMATICA

f[n_]:=Fibonacci[n]; p[n_]:=PartitionsP[f[n]]; a[n_]:=Product[p[i], {i, 1, n}];

CROSSREFS

Cf. A000041, A000045, A072214.

Sequence in context: A325782 A326343 A276453 * A250309 A115961 A123137

Adjacent sequences:  A152476 A152477 A152478 * A152480 A152481 A152482

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 05 2008

STATUS

approved

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Last modified September 21 20:10 EDT 2021. Contains 347598 sequences. (Running on oeis4.)