OFFSET
0,4
COMMENTS
Also number of partitions into parts m such that 2*m is squarefree.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..10000
Joerg Arndt, Matters Computational (The Fxtbook), section 16.4.3 "Partitions into square-free parts", pp.351-352
FORMULA
G.f.: 1/prod(n>=1, 1 - moebius(2*n-1)^2 * x^(2*n-1)) = 1/prod(n>=1, 1 - moebius(2*n)^2 * x^(n)).
PROG
(PARI) N=75; x='x+O('x^N); Vec( 1/prod(n=1, N, 1-moebius(2*n-1)^2*x^(2*n-1) ) )
CROSSREFS
KEYWORD
nonn
AUTHOR
Joerg Arndt, Aug 27 2008
STATUS
approved