A282356 Eisenstein series E_26(q) (alternate convention E_13(q)), multiplied by 657931.

657931, -24, -805306392, -20334926626656, -27021598569529368, -7152557373046875024, -682326933054044766048, -32185646871935157619392, -906694391732570450559000, -17229551704624797057112632, -240000007152557373852181392

Offset: 0

Author

Seiichi Manyama, Feb 13 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..1000
• Index entries for sequences related to Eisenstein series

Crossrefs

Cf. A006352 (E_2), A004009 (E_4), A013973 (E_6), A008410 (E_8), A013974 (E_10), A029828 (691*E_12), A058550 (E_14), A029829 (3617*E_16), A279892 (43867*E_18), A029830 (174611*E_20), A279893 (77683*E_22), A029831 (236364091*E_24), this sequence (657931*E_26).

Cf. A282048 (E_4^5*E_6), A282357 (E_4^2*E_6^3).

Programs

Mathematica

terms = 11;
E26[x_] = 657931 - 24*Sum[k^25*x^k/(1 - x^k), {k, 1, terms}];
E26[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 26 2018 *)

Formula

a(n) = 392931*A282048(n) + 265000*A282357(n).