cp's OEIS Frontend

A358005 Number of partitions of n into 5 distinct positive Fibonacci numbers (with a single type of 1).

%I A358005 #9 Jan 06 2023 10:42:15
%S A358005 1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,1,1,2,1,1,2,1,2,1,1,
%T A358005 1,0,1,1,1,1,1,1,2,1,2,1,1,2,1,1,2,1,3,2,2,2,1,2,2,2,2,1,2,2,1,2,1,1,
%U A358005 1,1,1,1,1,2,1,1,2,1,2,2,2,3,1,2,2,1,3,2,2,2,1,2
%N A358005 Number of partitions of n into 5 distinct positive Fibonacci numbers (with a single type of 1).
%H A358005 Robert Israel, <a href="/A358005/b358005.txt">Table of n, a(n) for n = 19..10000</a>
%p A358005 G:= mul(1+t*x^combinat:-fibonacci(k),k=2..21):
%p A358005 S:= coeff(expand(G),t,5):
%p A358005 seq(coeff(S,x,i),i=19..110); # _Robert Israel_, Jan 06 2023
%Y A358005 Cf. A000045, A000119, A319398, A357690, A357722, A357731, A357732, A358006, A358007, A358008.
%K A358005 nonn
%O A358005 19,27
%A A358005 _Ilya Gutkovskiy_, Oct 24 2022