cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A282540 Eisenstein series E_32(q) (alternate convention E_16(q)), multiplied by 7709321041217.

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%I A282540 #13 Feb 26 2018 17:24:03
%S A282540 7709321041217,32640,70093866303360,20160859654708062720,
%T A282540 150525431711563807489920,151991844177246093750032640,
%U A282540 43295116458269350559666465280,5149788469617367127914995164160,323250903208723929093223124860800
%N A282540 Eisenstein series E_32(q) (alternate convention E_16(q)), multiplied by 7709321041217.
%H A282540 Seiichi Manyama, <a href="/A282540/b282540.txt">Table of n, a(n) for n = 0..10000</a>
%F A282540 a(n) = 764412173217*A282474(n) + 5323905468000 * A282541(n) + 1621003400000 * A282543(n).
%t A282540 terms = 9;
%t A282540 E32[x_] = 7709321041217 + 32640*Sum[k^31*x^k/(1 - x^k), {k, 1, terms}];
%t A282540 E32[x] + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 26 2018 *)
%Y A282540 Cf. A006352 (E_2), A004009 (E_4), A013973 (E_6), A008410 (E_8), A013974 (E_10), A029828 (691*E_12), A058550 (E_14), A029829 (3617*E_16), A279892 (43867*E_18), A029830 (174611*E_20), A279893 (77683*E_22), A029831 (236364091*E_24), A282356 (657931*E_26), A282401 (3392780147*E_28), A282182 (1723168255201*E_30), this sequence (7709321041217*E_32).
%Y A282540 Cf. A282474 (E_4^8), A282541 (E_4^5*E_6^2), A282543 (E_4^2*E_6^4).
%K A282540 nonn
%O A282540 0,1
%A A282540 _Seiichi Manyama_, Feb 17 2017