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A288122 Number of partitions of n into prime Fibonacci numbers (A005478). 0
1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 8, 8, 9, 11, 11, 13, 14, 15, 17, 18, 20, 22, 23, 26, 27, 30, 32, 34, 37, 39, 42, 45, 47, 51, 54, 57, 61, 64, 68, 72, 76, 80, 84, 89, 93, 98, 103, 108, 113, 119, 124, 130, 136, 142, 148, 155, 161, 168, 175, 182, 190, 197, 205, 213, 221, 230 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..70.

Eric Weisstein's World of Mathematics, Fibonacci Prime

Index entries for related partition-counting sequences

FORMULA

G.f.: Product_{k>=1} 1/(1 - x^A005478(k)).

EXAMPLE

a(8) = 3 because we have [5, 3], [3, 3, 2] and [2, 2, 2, 2].

MATHEMATICA

CoefficientList[Series[Product[1/(1 - Boole[PrimeQ[Fibonacci[k]]] x^Fibonacci[k]), {k, 1, 30}], {x, 0, 70}], x]

CROSSREFS

Cf. A000045, A000607, A003107, A005478, A007000.

Sequence in context: A029099 A029245 A174576 * A060970 A035429 A280169

Adjacent sequences:  A288119 A288120 A288121 * A288123 A288124 A288125

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jun 05 2017

STATUS

approved

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Last modified September 22 17:16 EDT 2020. Contains 337291 sequences. (Running on oeis4.)