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A280933
Expansion of Product_{k>=2} (1 + x^(Fibonacci(k)^2)).
1
1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0
OFFSET
0
COMMENTS
Number of partitions of n into distinct squares of Fibonacci numbers (with a single type of 1).
FORMULA
G.f.: Product_{k>=2} (1 + x^(Fibonacci(k)^2)).
EXAMPLE
a(10) = 1 because we have [9, 1].
MATHEMATICA
CoefficientList[Series[Product[1 + x^Fibonacci[k]^2, {k, 2, 20}], {x, 0, 105}], x]
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 11 2017
STATUS
approved