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A037164 Numerators of coefficients of Eisenstein series E_12(q) (or E_6(q) or E_24(q)). 1
1, 65520, 134250480, 11606736960, 274945048560, 3199218815520, 23782204031040, 129554448266880, 563087459516400, 2056098632318640, 6555199353000480, 18693620658498240, 48705965462306880 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

First denominator is 1, rest are 691.

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

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);

CROSSREFS

Cf. A029828.

Sequence in context: A083608 A102277 A013692 * A075964 A075969 A075965

Adjacent sequences:  A037161 A037162 A037163 * A037165 A037166 A037167

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 23:58 EST 2012. Contains 206085 sequences.