OFFSET
0,5
LINKS
Sylvie Corteel, Carla D. Savage, and Andrew V. Sills. F. Beukers, Lecture hall sequences, q-series, and asymmetric partition identities, In Alladi K., Garvan F. (eds) Partitions, q-Series, and Modular Forms pp 53-68. Developments in Mathematics, vol 23. Springer, New York, NY.
FORMULA
G.f.: Sum_{j>=0} x^(j*(3*j-1)/2)*(Product_{k=1..j} (1-x^(6*k-4)))/(Product_{k=1..3*j} (1-x^k)).
a(n) ~ exp(Pi*sqrt(n/3)) * Pi^(2/3) / (2 * 3^(2/3) * Gamma(1/3) * n^(5/6)). - Vaclav Kotesovec, May 21 2018
MAPLE
seq(coeff(series(mul(1/(1-x^(3*k-2)), k=1..n)*mul(1/(1-x^(6*k-1)), k=1..n), x, 70), x, n), n=0..60); # Muniru A Asiru, May 21 2018
MATHEMATICA
nmax = 50; CoefficientList[Series[Product[1/((1-x^(3*k-2)) * (1-x^(6*k-1))), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, May 21 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 20 2018
STATUS
approved