%I #15 Feb 26 2018 19:20:28
%S 3392780147,6960,934155393840,53074158495516480,125380214560150002480,
%T 51856040954589843756960,7123493021854278627673920,
%U 457358042050198589771226240,16828247534415852672059972400,404722169541211889603611092720
%N Eisenstein series E_28(q) (alternate convention E_14(q)), multiplied by 3392780147.
%H Seiichi Manyama, <a href="/A282401/b282401.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Ed#Eisen">Index entries for sequences related to Eisenstein series</a>
%F a(n) = 489693897*A282402(n) + 2507636250*A282403(n) + 395450000*A282404(n).
%t terms = 10;
%t E28[x_] = 3392780147 + 6960*Sum[k^27*x^k/(1 - x^k), {k, 1, terms}];
%t E28[x] + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 26 2018 *)
%Y 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), A282356 (657931*E_26), this sequence (3392780147*E_28).
%Y Cf. A282402 (E_4^7), A282403 (E_4^4*E_6^2), A282404 (E_4*E_6^4).
%K nonn
%O 0,1
%A _Seiichi Manyama_, Feb 14 2017