A286953 Expansion of Product_{j>=1} (1 - x^j)/(1 - x^(4*j))^4.

1, -1, -1, 0, 4, -3, -4, 1, 14, -10, -14, 4, 39, -26, -40, 13, 101, -65, -105, 36, 238, -147, -251, 91, 534, -322, -569, 212, 1135, -666, -1222, 469, 2328, -1340, -2526, 987, 4606, -2600, -5035, 2002, 8867, -4928, -9751, 3926, 16624, -9100, -18382, 7488, 30499

Offset

0,5

Links

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

Formula

Empirical: Sum_{n>=0} a(n) / exp(n*Pi) = 8 * exp(-5*Pi/8) * 2^(1/8) * Gamma(3/4)^3 / Pi^(3/4) = A389022. - Simon Plouffe, Sep 22 2025

Crossrefs

4th column of A286950.

Cf. A045831.

Sequence in context: A346785 A284517 A386595 * A170987 A239735 A196826

Adjacent sequences: A286950 A286951 A286952 * A286954 A286955 A286956

Keyword

sign

Author

Seiichi Manyama, May 17 2017

Status

approved