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A319503 Number of partitions of Fibonacci(n) into exactly n positive Fibonacci numbers. 4
1, 1, 0, 0, 0, 1, 2, 6, 16, 43, 117, 305, 769, 1907, 4686, 11587, 28580, 70451, 172880, 423629, 1036332, 2533559, 6186635, 15092985, 36784586, 89590410, 218069921, 530551804, 1290218120, 3136385254, 7621522229, 18515039477, 44966884766, 109184448962 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

FORMULA

a(n) = [x^A000045(n) y^n] 1/Product_{j>=2} (1-y*x^A000045(j)).

a(n) = A319394(A000045(n),n).

EXAMPLE

a(0) = 1: the empty partition.

a(1) = 1: 1.

a(5) = 1: 11111.

a(6) = 2: 221111, 311111.

a(7) = 6: 2222221, 3222211, 3322111, 3331111, 5221111, 5311111.

CROSSREFS

Cf. A000045, A098641, A259254, A319394, A319435.

Sequence in context: A244399 A291142 A027994 * A295572 A027068 A003142

Adjacent sequences:  A319500 A319501 A319502 * A319504 A319505 A319506

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 20 2018

STATUS

approved

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Last modified December 4 15:12 EST 2020. Contains 338927 sequences. (Running on oeis4.)