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A289744 Coefficients in expansion of q*E'_8 where E_8 is the Eisenstein Series (A008410).

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%I A289744 #28 Jan 07 2025 01:59:07
%S A289744 480,123840,3150720,31704960,187502400,812885760,2767107840,
%T A289744 8116473600,20671878240,48375619200,102892268160,208111357440,
%U A289744 391550752320,713913822720,1230765753600,2077817249280,3348363579840,5333344585920,8152110268800,12384908524800
%N A289744 Coefficients in expansion of q*E'_8 where E_8 is the Eisenstein Series (A008410).
%H A289744 Seiichi Manyama, <a href="/A289744/b289744.txt">Table of n, a(n) for n = 1..10000</a>
%F A289744 a(n) = 480*A282060(n) = 480*n*A013955(n).
%t A289744 Table[480*n*DivisorSigma[7, n], {n, 1, 20}] (* _Jean-François Alcover_, Feb 27 2018 *)
%o A289744 (PARI) a(n) = 480 * n * sigma(n, 7); \\ _Amiram Eldar_, Jan 07 2025
%Y A289744 (-1)^(k/2)*q*E'_{k}: A076835 (k=2), A145094 (k=4), A145095 (k=6), this sequence (k=8), A289745 (k=10), A289746 (k=14).
%Y A289744 Cf. A008410 (E_8), A013955, A282060, A289638.
%K A289744 nonn
%O A289744 1,1
%A A289744 _Seiichi Manyama_, Jul 11 2017