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A289746 Coefficients in expansion of -q*E'_14 where E_14 is the Eisenstein Series (A058550).

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%I A289746 #24 Feb 27 2018 04:57:35
%S A289746 24,393264,114791328,6443237472,146484375120,1880970700608,
%T A289746 16277353748544,105566002741440,549043363293048,2400292970716320,
%U A289746 9113996005998048,30817824417926784,94497033256783248,266720718523641984,700630664636456640
%N A289746 Coefficients in expansion of -q*E'_14 where E_14 is the Eisenstein Series (A058550).
%H A289746 Seiichi Manyama, <a href="/A289746/b289746.txt">Table of n, a(n) for n = 1..10000</a>
%F A289746 a(n) = 24*A282597(n) = 24*n*A013961(n).
%t A289746 Table[24*n*DivisorSigma[13, n], {n, 1, 15}] (* _Jean-François Alcover_, Feb 27 2018 *)
%o A289746 (PARI) a(n) = 24*n*sigma(n, 13); \\ _Michel Marcus_, Feb 27 2018
%Y A289746 (-1)^(k/2)*q*E'_{k}: A076835 (k=2), A145094 (k=4), A145095 (k=6), A289744 (k=8), A289745 (k=10), this sequence (k=14).
%Y A289746 Cf. A013961, A058550 (E_14), A282597, A289640.
%K A289746 nonn
%O A289746 1,1
%A A289746 _Seiichi Manyama_, Jul 11 2017