OFFSET
0,16
COMMENTS
Number of partitions of n into distinct odd squarefree parts > 1.
LINKS
Joerg Arndt, Matters Computational (The Fxtbook), section 16.4.3 "Partitions into square-free parts", pp.351-352
Eric Weisstein's World of Mathematics, Squarefree
FORMULA
G.f.: Product_{k>=2} (1 + mu(2*k-1)^2*x^(2*k-1)).
EXAMPLE
a(18) = 3 because we have [15, 3], [13, 5] and [11, 7].
MATHEMATICA
nmax = 84; CoefficientList[Series[Product[1 + MoebiusMu[2 k - 1]^2 x^(2 k - 1), {k, 2, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 07 2017
STATUS
approved