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A290010 Coefficients in expansion of 691*E_6^2*E_12. 3
691, -631008, 220745952, -97839374976, 19569814631136, 4535334591238080, 303188772007707264, 10484562664742729472, 226123357637141848800, 3395301924051385082784, 38309171317486687195200, 343029821520447762390144, 2537867756328299498904192 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

MATHEMATICA

terms = 13;

E6[x_] = 1 - 504*Sum[k^5*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*E6[x]^2*E12[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-Fran├žois Alcover, Feb 26 2018 *)

CROSSREFS

Cf. A013973 (E_6), A029828 (691*E_12), A280869 (E_6^2).

Cf. A290009.

Sequence in context: A290049 A288989 A290009 * A037149 A196894 A292833

Adjacent sequences:  A290007 A290008 A290009 * A290011 A290012 A290013

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jul 17 2017

STATUS

approved

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Last modified April 5 13:02 EDT 2020. Contains 333241 sequences. (Running on oeis4.)