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Search: id:A076835
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| A076835 |
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Coefficients in expansion of Eisenstein series -E'_2. |
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+0
3
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| 24, 144, 288, 672, 720, 1728, 1344, 2880, 2808, 4320, 3168, 8064, 4368, 8064, 8640, 11904, 7344, 16848, 9120, 20160, 16128, 19008, 13248, 34560, 18600, 26208, 25920, 37632, 20880, 51840, 23808, 48384, 38016, 44064, 40320, 78624, 33744, 54720, 52416, 86400
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OFFSET
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0,1
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COMMENT
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Negated first derivative of E_2 (see A006352).
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REFERENCES
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M. Kaneko and D. Zagier, Supersingular j-invariants, hypergeometric series and Atkin's orthogonal polynomials, pp. 97-126 of D. A. Buell and J. T. Teitelbaum, eds., Computational Perspectives on Number Theory, Amer. Math. Soc., 1998.
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FORMULA
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E'_2 = (E_2^2-E_4)/12.
a(n) = 24*A064987(n).
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MAPLE
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with(numtheory); E:=proc(k) series(1-(2*k/bernoulli(k))*add( sigma[k-1](n)*q^n, n=1..60), q, 61); end; -diff(E(2), q);
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CROSSREFS
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Cf. A006352, A064987.
Sequence in context: A044356 A044737 A093699 this_sequence A007900 A059593 A054118
Adjacent sequences: A076832 A076833 A076834 this_sequence A076836 A076837 A076838
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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), Feb 28 2009
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