A287933 Coefficients in expansion of 1/E_8.

1, -480, 168480, -52199040, 15119446560, -4198347132480, 1132514464199040, -299116847254053120, 77742157641008378400, -19951615350261029163360, 5068304275307482667436480, -1276700988345016720650917760

Offset: 0

Author

Seiichi Manyama, Jun 17 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..422

Crossrefs

Cf. A008410 (E_8).

Cf. A288816 (k=2), A001943 (k=4), A000706 (k=6), this sequence (k=8), A285836 (k=10), A287964 (k=14).

Formula

a(n) ~ (-1)^n * c * exp(Pi*sqrt(3)*n) * n, where c = (262144 * Pi^24) / (81 * Gamma(1/3)^36) = 1.0839091249080051624370140889296742679583925822413671... - Vaclav Kotesovec, Jul 02 2017, updated Mar 05 2018