OFFSET
0,6
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
FORMULA
G.f.: 1/Product_{i>=3} (1 - x^Fibonacci(i)).
EXAMPLE
a(12) counts these partitions: 822, 552, 5322, 3333, 33222, 222222.
MATHEMATICA
p[n_] := IntegerPartitions[n, All, Fibonacci@Range[3, 60]]; Table[p[n], {n, 0, 12}] (*shows partitions*)
a[n_] := Length@p@n; a /@ Range[0, 80] (*counts partitions, A238999*)
PROG
(PARI) N=66; q='q+O('q^N); Vec( 1/prod(n=1, 11, 1-q^fibonacci(n+2)) ) \\ Joerg Arndt, Mar 11 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Mar 08 2014
STATUS
approved