A327065 Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^(k*j)).

1, 1, 2, 5, 12, 20, 42, 75, 141, 259, 466, 799, 1427, 2443, 4169, 7049, 11863, 19605, 32518, 53184, 86579, 140018, 225380, 359739, 572864, 905903, 1426270, 2234952, 3488313, 5416403, 8383226, 12917257, 19831763, 30334937, 46245977, 70242043, 106371686

Offset: 0

Author

Vaclav Kotesovec, Aug 19 2019

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A028377, A192065, A211856, A294842, A280541, A327063, A327064, A327068.

Programs

Mathematica

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