A358005 - OEIS

%I #9 Jan 06 2023 10:42:15

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

%H Robert Israel, <a href="/A358005/b358005.txt">Table of n, a(n) for n = 19..10000</a>

%p G:= mul(1+t*x^combinat:-fibonacci(k),k=2..21):

%p S:= coeff(expand(G),t,5):

%p seq(coeff(S,x,i),i=19..110); # _Robert Israel_, Jan 06 2023

%Y Cf. A000045, A000119, A319398, A357690, A357722, A357731, A357732, A358006, A358007, A358008.

%K nonn

%O 19,27

%A _Ilya Gutkovskiy_, Oct 24 2022