A289744 -id:A289744 - cp's OEIS frontend

A289745 Coefficients in expansion of -q*E'_10 where E_10 is the Eisenstein Series (A013974).

264, 270864, 15589728, 277365792, 2578126320, 15995060928, 74573467584, 284022573120, 920557851048, 2645157604320, 6847480097568, 16379004749184, 36394641851568, 76512377741184, 152243515448640, 290839114879104, 532222389723024, 944492355175248

Offset: 1

Seiichi Manyama, Jul 11 2017

nonn

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

(-1)^(k/2)*q*E'_{k}: A076835 (k=2), A145094 (k=4), A145095 (k=6), A289744 (k=8), this sequence (k=10), A289746 (k=14).

Cf. A013957, A013974 (E_10), A282254, A289639.

Table[264*n*DivisorSigma[9, n], {n, 1, 18}] (* Jean-François Alcover, Feb 27 2018 *)

a(n) = 264*n*sigma(n, 9); \\ Michel Marcus, Feb 27 2018

a(n) = 264*A282254(n) = 264*n*A013957(n).

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

Original entry on oeis.org

24, 393264, 114791328, 6443237472, 146484375120, 1880970700608, 16277353748544, 105566002741440, 549043363293048, 2400292970716320, 9113996005998048, 30817824417926784, 94497033256783248, 266720718523641984, 700630664636456640

Offset: 1

Seiichi Manyama, Jul 11 2017

nonn

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

(-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).

Cf. A013961, A058550 (E_14), A282597, A289640.

Table[24*n*DivisorSigma[13, n], {n, 1, 15}] (* Jean-François Alcover, Feb 27 2018 *)

a(n) = 24*n*sigma(n, 13); \\ Michel Marcus, Feb 27 2018

a(n) = 24*A282597(n) = 24*n*A013961(n).

cp's OEIS Frontend

A289745 Coefficients in expansion of -q*E'_10 where E_10 is the Eisenstein Series (A013974).

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