A350643 Expansion of Product_{k>=1} (1-q^(2*k))^2/(1-q^k)^7.

1, 7, 33, 126, 419, 1260, 3509, 9185, 22842, 54395, 124784, 277059, 597644, 1256341, 2580363, 5189185, 10236710, 19840410, 37832553, 71060190, 131610897, 240585292, 434431132, 775483785, 1369359198, 2393425484, 4143057525, 7106240582, 12083072562, 20375932566

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

George E. Andrews and Peter Paule, MacMahon's partition analysis XIII: Schmidt type partitions and modular forms, Journal of Number Theory Available online 22 October 2021. See 7.4 p. 17.

Mathematica

m = 50; CoefficientList[Series[Product[(1 - q^(2*k))^2/(1 - q^k)^7, {k, 1, m}], {q, 0, m}], q] (* Amiram Eldar, Jan 09 2022 *)

Prog

(PARI) lista(nn) = my(q='q+O('q^nn)); Vec(prod(k=1, nn, (1-q^(2*k))^2/(1-q^k)^7));

Crossrefs

Cf. A350642, A350644.

Sequence in context: A338232 A000605 A215054 * A114014 A375549 A229515

Adjacent sequences: A350640 A350641 A350642 * A350644 A350645 A350646

Keyword

nonn

Author

Michel Marcus, Jan 09 2022

Status

approved