A290049 Coefficients in expansion of 691*E_8*E_10*E_12.

691, 214776, 10042488, -31595258016, -37453557900168, -14820419119618224, -2593285239712936608, -222297419357081232192, -10663770067272328258440, -324599563661107722245352, -6891830216922929182318512, -109326152051786546417315808

Offset: 0

Author

Seiichi Manyama, Jul 19 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A008410 (E_8), A013974 (E_10), A029828 (691*E_12).

Programs

Mathematica

terms = 12;
E8[x_] = 1 + 480*Sum[k^7*x^k/(1 - x^k), {k, 1, terms}];
E10[x_] = 1 - 264*Sum[k^9*x^k/(1 - x^k), {k, 1, terms}];
E12[x_] = 1 + (65520/691)*Sum[k^11*x^k/(1 - x^k), {k, 1, terms}];
691*E8[x]*E10[x]*E12[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 26 2018 *)