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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
OFFSET
0,6
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
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jun 05 2017
STATUS
approved