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Coefficients in expansion of q*E'_8 where E_8 is the Eisenstein Series (A008410).
3

%I #24 Feb 27 2018 04:57:57

%S 480,123840,3150720,31704960,187502400,812885760,2767107840,

%T 8116473600,20671878240,48375619200,102892268160,208111357440,

%U 391550752320,713913822720,1230765753600,2077817249280,3348363579840,5333344585920,8152110268800,12384908524800

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

%H Seiichi Manyama, <a href="/A289744/b289744.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = 480*A282060(n) = 480*n*A013955(n).

%t Table[480*n*DivisorSigma[7, n], {n, 1, 20}] (* _Jean-François Alcover_, Feb 27 2018 *)

%Y (-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 Cf. A008410 (E_8), A013955, A282060, A289638.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Jul 11 2017