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A266137
Expansion of Product_{k>=1} 1/(1 - k*(x^(2*k-1))).
2
1, 1, 1, 3, 3, 6, 10, 14, 20, 33, 50, 68, 106, 147, 214, 325, 445, 624, 916, 1259, 1780, 2553, 3477, 4821, 6794, 9340, 12777, 17808, 24266, 32998, 45764, 61770, 83593, 114594, 154039, 208617, 283232, 379040, 509270, 687448, 919709, 1228319, 1650595, 2195745
OFFSET
0,4
LINKS
FORMULA
a(n) ~ c * 2^(n/3), where
c = 2684.3207660224428945778151546260301591494083790... if mod(n,3) = 0
c = 2683.9203893332021512699407898064547843826991184... if mod(n,3) = 1
c = 2683.7635451650373491773203224442103370428384569... if mod(n,3) = 2.
MATHEMATICA
nmax=60; CoefficientList[Series[Product[1/(1-k*(x^(2*k-1))), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Dec 21 2015
STATUS
approved