A152479 Products of partition numbers of Fibonacci numbers.

1, 1, 1, 2, 6, 42, 924, 93324, 73912608, 909864204480, 410599878740916480, 20528320742539954765344000, 462721784193718931971550165554080000, 28136323479948516473366521258111350797954332320000

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Dec 05 2008

Keywords

• nonn

Links

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

Crossrefs

Cf. A000041, A000045, A072214.

Programs

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}];

Formula

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