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

19,27

Links

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

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

Crossrefs

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

Sequence in context: A105522 A131774 A342626 * A078316 A207668 A293838

Adjacent sequences: A358002 A358003 A358004 * A358006 A358007 A358008

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 24 2022

Status

approved