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Search: id:A029828
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| A029828 |
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Eisenstein series E_12(q) (alternate convention E_6(q)), multiplied by 691. |
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+0
12
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| 691, 65520, 134250480, 11606736960, 274945048560, 3199218815520, 23782204031040, 129554448266880, 563087459516400, 2056098632318640, 6555199353000480, 18693620658498240, 48705965462306880
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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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.
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LINKS
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Index entries for sequences related to Eisenstein series
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MAPLE
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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);
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PROGRAM
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(PARI) a(n)=if(n<1, 691*(n==0), 65520*sigma(n, 11))
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CROSSREFS
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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 this_sequence A037149 A004240 A004241
Adjacent sequences: A029825 A029826 A029827 this_sequence A029829 A029830 A029831
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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