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

480, 123840, 3150720, 31704960, 187502400, 812885760, 2767107840, 8116473600, 20671878240, 48375619200, 102892268160, 208111357440, 391550752320, 713913822720, 1230765753600, 2077817249280, 3348363579840, 5333344585920, 8152110268800, 12384908524800

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Formula

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

Mathematica

Table[480*n*DivisorSigma[7, n], {n, 1, 20}] (* Jean-François Alcover, Feb 27 2018 *)

Crossrefs

(-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).

Cf. A008410 (E_8), A013955, A282060, A289638.

Sequence in context: A008410 A305569 A289638 * A287933 A362215 A304395

Adjacent sequences: A289741 A289742 A289743 * A289745 A289746 A289747

Keyword

nonn

Author

Seiichi Manyama, Jul 11 2017

Status

approved