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Search: id:A029829
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| A029829 |
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Eisenstein series E_16(q) (alternate convention E_8(q)), multiplied by 3617. |
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+0
12
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| 3617, 16320, 534790080, 234174178560, 17524001357760, 498046875016320, 7673653657232640, 77480203842286080, 574226476491096000, 3360143509958850240, 16320498047409790080, 68172690124863440640
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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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(16);
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PROGRAM
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(PARI) a(n)=if(n<1, 3617*(n==0), 16320*sigma(n, 15))
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CROSSREFS
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Cf. A058552.
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: A045817 A107538 A106433 this_sequence A046835 A143930 A015294
Adjacent sequences: A029826 A029827 A029828 this_sequence A029830 A029831 A029832
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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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