OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..5000
FORMULA
From Vaclav Kotesovec, Oct 06 2018: (Start)
a(n) ~ c * n * 2^(n/2), where
c = 59.39385182785860961527832575945047265281719... if n is even
c = 59.39502666671757816086328506683601946035153... if n is odd
(End)
MAPLE
seq(coeff(series(mul((1+(2*k-1)*x^(2*k-1))/(1-2*k*x^(2*k)), k=1..n), x, n+1), x, n), n = 0 .. 40); # Muniru A Asiru, Sep 29 2018
MATHEMATICA
nmax = 50; CoefficientList[Series[Product[(1 + (2*k-1)*x^(2*k-1))/(1 - 2*k*x^(2*k)), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 06 2018 *)
PROG
(PARI) N=99; x='x+O('x^N); Vec(prod(k=1, N, (1+(2*k-1)*x^(2*k-1))/(1-(2*k)*x^(2*k))))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 29 2018
STATUS
approved