OFFSET
0,3
COMMENTS
Number of partitions of n into distinct Fibonacci parts (1 counted as single Fibonacci number), where Fibonacci(k) different parts of size Fibonacci(k) are available (1a, 2a, 2b, 3a, 3b, 3c, ...).
EXAMPLE
a(3) = 5 because we have [3a], [3b], [3c], [2a, 1a] and [2b, 1a].
MATHEMATICA
nmax = 50; CoefficientList[Series[Product[(1 + x^Fibonacci[k])^Fibonacci[k], {k, 2, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 28 2017
STATUS
approved