A039831 Largest coefficient in expansion of Product (1+q^1+q^3...+q^(2i-1)), i=1 to n.

1, 2, 4, 13, 57, 315, 2057, 15484, 132317, 1261560, 13281295, 153218597, 1921565205, 26008169266, 377922606876, 5871153031163, 97096594212804, 1702487540383101, 31551431772637772, 616331122530164638

Offset: 1

Author

Olivier Gérard

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..400

Crossrefs

Cf. A039824.

Programs

Mathematica

Table[Max[CoefficientList[Expand[Product[1 + Sum[x^(2*k-1), {k, 1, j}], {j, 1, n}]], x]], {n,1,20}] (* Vaclav Kotesovec, Jan 05 2023 *)

Formula

Conjecture: a(n) ~ 3 * n^n / exp(n). - Vaclav Kotesovec, Jan 05 2023