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%I #9 Aug 19 2019 04:09:22
%S 1,2,6,14,30,60,120,220,402,710,1224,2064,3438,5596,9012,14304,22422,
%T 34740,53330,80960,121908,181976,269484,396072,578232,838258,1207896,
%U 1730058,2463900,3490020,4918572,6897012,9626610,13375776,18504852,25494456,34985530
%N Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(2*k)) * (1 + x^(3*k)) / ((1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k))).
%C Convolution of A327045 and A327042.
%H Vaclav Kotesovec, <a href="/A327048/b327048.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) ~ 11 * exp(sqrt(11*n/6)*Pi) / (2^(13/2)*sqrt(3)*n^(3/2)).
%t nmax = 50; CoefficientList[Series[Product[(1+x^k) * (1+x^(2*k)) * (1+x^(3*k)) / ((1-x^k) * (1-x^(2*k)) * (1-x^(3*k))), {k, 1, nmax}], {x, 0, nmax}], x]
%Y Cf. A015128, A246584, A327049, A327050.
%Y Cf. A301554.
%K nonn
%O 0,2
%A _Vaclav Kotesovec_, Aug 16 2019
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