A306456 Expansion of Product_{j>=1} (1 - (-1 + Product_{k>=1} (1 - x^k))^j).

1, 1, 0, -2, -1, -2, -3, -10, -15, -19, -17, 7, 59, 116, 102, -74, -468, -775, -242, 2111, 6388, 10102, 7421, -8768, -40024, -73196, -75164, -288, 182990, 445127, 639603, 478509, -380391, -2042730, -3922746, -4484102, -1857055, 4235012, 10177841, 8792321, -4085840

Offset

0,4

Links

Table of n, a(n) for n=0..40.

Formula

G.f.: g(g(x) - 1), where g(x) = g.f. of A010815.

Mathematica

nmax = 40; CoefficientList[Series[Product[(1 - (-1 + Product[(1 - x^k), {k, 1, nmax}])^j), {j, 1, nmax}], {x, 0, nmax}], x]
nmax = 40; CoefficientList[Series[QPochhammer[QPochhammer[x] - 1], {x, 0, nmax}], x]

Crossrefs

Cf. A010815, A238440, A307127.

Sequence in context: A176954 A034952 A337549 * A178463 A213593 A350026

Adjacent sequences: A306453 A306454 A306455 * A306457 A306458 A306459

Keyword

sign

Author

Ilya Gutkovskiy, Apr 05 2019

Status

approved