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A145155
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Coefficients in expansion of Delta'(q).
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2
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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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COMMENTS
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First derivative of cusp form Delta (see A000594).
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LINKS
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FORMULA
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EXAMPLE
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G.f. = 1 - 2*24*q + 3*252*q^2 - 4*1472*q^3 + 5*4830*q^4 - 6*6048*q^5 - 7*16744*q^6 + ...
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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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MATHEMATICA
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a[n_] := (n+1)*RamanujanTau[n+1];
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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