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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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18
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3617, 16320, 534790080, 234174178560, 17524001357760, 498046875016320, 7673653657232640, 77480203842286080, 574226476491096000, 3360143509958850240, 16320498047409790080, 68172690124863440640
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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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FORMULA
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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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MATHEMATICA
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terms = 12;
E16[x_] = 3617 + 16320*Sum[k^15*x^k/(1 - x^k), {k, 1, terms}];
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PROG
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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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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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