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

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, 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, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 3, 1, 2, 2, 1, 3, 2, 2, 2, 1, 2

Offset: 19

Author

Ilya Gutkovskiy, Oct 24 2022

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 19..10000

Crossrefs

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

Programs

Maple

G:= mul(1+t*x^combinat:-fibonacci(k),k=2..21):
S:= coeff(expand(G),t,5):
seq(coeff(S,x,i),i=19..110); # Robert Israel, Jan 06 2023