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A058550 Eisenstein series E_14(q) (alternate convention E_7(q)). 36
1, -24, -196632, -38263776, -1610809368, -29296875024, -313495116768, -2325336249792, -13195750342680, -61004818143672, -240029297071632, -828545091454368, -2568152034827232, -7269002558214096, -19051479894545856, -46708710975763776 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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.

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(14);

MATHEMATICA

terms = 16;

E14[x_] = 1 - 24*Sum[k^13*x^k/(1 - x^k), {k, 1, terms}];

E14[x] + O[x]^terms // CoefficientList[#, x]&

(* or: *)

Table[If[n == 0, 1, -24*DivisorSigma[13, n]], {n, 0, terms-1}] (* Jean-Fran├žois Alcover, Feb 26 2018 *)

PROG

(PARI) a(n)=if(n<1, n==0, -24*sigma(n, 13))

CROSSREFS

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: A305760 A048057 A305757 * A145200 A007240 A289029

Adjacent sequences:  A058547 A058548 A058549 * A058551 A058552 A058553

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Dec 25 2000

STATUS

approved

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Last modified May 28 11:40 EDT 2020. Contains 334681 sequences. (Running on oeis4.)