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 A058552 Numerators of q-expansion of Eisenstein series E_16(q). 1
 1, 16320, 534790080, 234174178560, 17524001357760, 498046875016320, 7673653657232640, 77480203842286080, 574226476491096000, 3360143509958850240, 16320498047409790080, 68172690124863440640, 251450283274373326080 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Denominators are 3617 except for leading term for which denominator is 1. 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 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(16); MATHEMATICA terms = 13; E16[x_] = 1 - (32/BernoulliB[16])*Sum[k^15*(x^k/(1 - x^k)), {k, 1, terms}]; E16[x] + O[x]^terms // CoefficientList[#, x]& // Numerator (* Jean-François Alcover, Feb 27 2018 *) CROSSREFS Cf. A029829. Sequence in context: A043607 A067375 A237460 * A337417 A013690 A247826 Adjacent sequences:  A058549 A058550 A058551 * A058553 A058554 A058555 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Dec 25 2000 STATUS approved

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)