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Search: id:A145155
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| A145155 |
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Coefficients in expansion of Delta'(q). |
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+0
1
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| 1, -48, 756, -5888, 24150, -36288, -117208, 675840, -1022787, -1159200, 5880732, -4451328, -7510594, 5625984, 18257400, 15794176, -117400878, 49093776, 202566980, -142195200, -88609248, -282275136, 428795256, 510935040, -637480625, 360508512, -1978535160
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OFFSET
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0,2
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COMMENT
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First derivative of cusp form Delta (see A000594).
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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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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; Delta:=series((E(4)^3-E(6)^2)/1728, q, 60); diff(%, q);
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CROSSREFS
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Sequence in context: A138411 A102279 A132464 this_sequence A105948 A014401 A014703
Adjacent sequences: A145152 A145153 A145154 this_sequence A145156 A145157 A145158
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KEYWORD
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sign
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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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