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Products of partition numbers of Fibonacci numbers.
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%I #5 Oct 20 2016 15:14:18

%S 1,1,1,2,6,42,924,93324,73912608,909864204480,410599878740916480,

%T 20528320742539954765344000,462721784193718931971550165554080000,

%U 28136323479948516473366521258111350797954332320000

%N Products of partition numbers of Fibonacci numbers.

%H Robert Israel, <a href="/A152479/b152479.txt">Table of n, a(n) for n = 1..24</a>

%F a(n) = Prod_{1<=j<=n-1} A072214(j). - _Robert Israel_, Oct 20 2016

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

%p seq(mul(A072214[i],i=1..n-1),n=1..20); # _Robert Israel_, Oct 20 2016

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

%Y Cf. A000041, A000045, A072214.

%K nonn

%O 1,4

%A _Vladimir Joseph Stephan Orlovsky_, Dec 05 2008