The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A299697

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A299697

Coefficients in expansion of (E_4^3/E_6^2)^(1/72).
(history; published version)

#18 by Vaclav Kotesovec at Sun Mar 04 12:33:37 EST 2018

STATUS

editing

approved

#17 by Vaclav Kotesovec at Sun Mar 04 12:33:34 EST 2018

FORMULA

a(n) * A296652(n) ~ -sin(Pi/36) * exp(4*Pi*n) / (36*Pi*n^2). - Vaclav Kotesovec, Mar 04 2018

STATUS

approved

editing

#16 by Vaclav Kotesovec at Sun Mar 04 11:41:59 EST 2018

STATUS

editing

approved

#15 by Vaclav Kotesovec at Sun Mar 04 11:28:42 EST 2018

FORMULA

a(n) ~ 2^(1/9) * Pi^(1/12) * exp(2*Pi*n) / (3^(1/72) * Gamma(1/36) * Gamma(1/4)^(1/9) * n^(35/36)). - Vaclav Kotesovec, Mar 04 2018

STATUS

approved

editing

#14 by Susanna Cuyler at Mon Feb 26 09:14:44 EST 2018

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reviewed

approved

#13 by Joerg Arndt at Mon Feb 26 08:20:05 EST 2018

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proposed

reviewed

#12 by Jean-François Alcover at Mon Feb 26 06:59:10 EST 2018

STATUS

editing

proposed

#11 by Jean-François Alcover at Mon Feb 26 06:59:07 EST 2018

MATHEMATICA

terms = 13;

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

E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}];

(E4[x]^3/E6[x]^2)^(1/72) + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 26 2018 *)

STATUS

approved

editing

#10 by Joerg Arndt at Sun Feb 25 05:50:34 EST 2018

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proposed

approved

#9 by Seiichi Manyama at Sun Feb 25 04:35:59 EST 2018

STATUS

editing

proposed