A029828 Eisenstein series E_12(q) (alternate convention E_6(q)), multiplied by 691.

691, 65520, 134250480, 11606736960, 274945048560, 3199218815520, 23782204031040, 129554448266880, 563087459516400, 2056098632318640, 6555199353000480, 18693620658498240, 48705965462306880, 117422349017369760, 265457064498837120, 566735214731736960, 1153203117089652720

Offset

0,1

References

R. C. Gunning, Lectures on Modular Forms. Princeton Univ. Press, Princeton, NJ, 1962, p. 53.

N. Koblitz, Introduction to Elliptic Curves and Modular Forms, Springer-Verlag, 1984, see p. 111.

J.-P. Serre, Course in Arithmetic, Chap. VII, Section 4.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for sequences related to Eisenstein series

Maple

E := proc(k) local n, t1; t1 := 1-(2*k/bernoulli(k))*add(sigma[k-1](n)*q^n, n=1..60); series(t1, q, 60); end; E(12);

Mathematica

Table[If[n == 0, 691, 65520 DivisorSigma[11, n]], {n, 0, 16}] (* Jean-François Alcover, Feb 26 2018 *)

Prog

(PARI) a(n)=if(n<1, 691*(n==0), 65520*sigma(n, 11))

Crossrefs

Cf. A037164.

Cf. A006352 (E_2), A004009 (E_4), A013973 (E_6), A008410 (E_8), A013974 (E_10), A029828 (E_12), A058550 (E_14), A029829 (E_16), A029830 (E_20), A029831 (E_24).

Sequence in context: A029814 A135843 A130662 * A288837 A290049 A288989

Adjacent sequences: A029825 A029826 A029827 * A029829 A029830 A029831

Keyword

nonn

Author

N. J. A. Sloane

Status

approved