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A266138
Expansion of Product_{k>=1} 1/(1 - k*(x^(2*k+1))).
2
1, 0, 0, 1, 0, 2, 1, 3, 2, 5, 7, 7, 11, 13, 24, 26, 35, 44, 69, 78, 112, 150, 188, 245, 318, 429, 537, 729, 924, 1177, 1534, 1965, 2518, 3287, 4108, 5394, 6857, 8604, 11022, 14073, 17899, 22549, 28900, 36182, 45954, 58395, 72912, 92118, 116201, 146279
OFFSET
0,6
LINKS
FORMULA
a(n) ~ c * 3^(n/7), where
c = 617630.638335... if mod(n,7) = 0
c = 617630.321433... if mod(n,7) = 1
c = 617630.360795... if mod(n,7) = 2
c = 617630.429073... if mod(n,7) = 3
c = 617630.357078... if mod(n,7) = 4
c = 617630.421636... if mod(n,7) = 5
c = 617630.341606... if mod(n,7) = 6.
MATHEMATICA
nmax=80; 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