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Coefficients in expansion of 691*E_4*E_8*E_12.
3

%I #16 Feb 26 2018 10:18:35

%S 691,563040,305307360,131729109120,34085393629920,4587384326495040,

%T 302027782271806080,10484303481804821760,226150164335242994400,

%U 3395290157453914541280,38308806132696980919360,343030311387007824977280,2537869275676057371269760

%N Coefficients in expansion of 691*E_4*E_8*E_12.

%H Seiichi Manyama, <a href="/A290009/b290009.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: 691*E_4^3*E_12.

%t terms = 13;

%t E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];

%t E12[x_] = 1 + (65520/691)*Sum[k^11*x^k/(1 - x^k), {k, 1, terms}];

%t 691*E4[x]^3*E12[x] + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 26 2018 *)

%Y Cf. A004009 (E_4), A008410 (E_8), A008411 (E_4^3), A029828 (691*E_12).

%Y Cf. A290010.

%K nonn

%O 0,1

%A _Seiichi Manyama_, Jul 17 2017