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A290049 Coefficients in expansion of 691*E_8*E_10*E_12. 2
691, 214776, 10042488, -31595258016, -37453557900168, -14820419119618224, -2593285239712936608, -222297419357081232192, -10663770067272328258440, -324599563661107722245352, -6891830216922929182318512, -109326152051786546417315808 (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 = 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-Fran├žois Alcover, Feb 26 2018 *)

CROSSREFS

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

Sequence in context: A130662 A029828 A288837 * A288989 A290009 A290010

Adjacent sequences:  A290046 A290047 A290048 * A290050 A290051 A290052

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jul 19 2017

STATUS

approved

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Last modified September 29 10:06 EDT 2020. Contains 337428 sequences. (Running on oeis4.)