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A282154
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Coefficients in expansion of Eisenstein series -q*(d/dq)(q*(d/dq)E_2).
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2
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0, 24, 288, 864, 2688, 3600, 10368, 9408, 23040, 25272, 43200, 34848, 96768, 56784, 112896, 129600, 190464, 124848, 303264, 173280, 403200, 338688, 418176, 304704, 829440, 465000, 681408, 699840, 1053696, 605520, 1555200, 738048, 1548288, 1254528, 1498176
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OFFSET
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0,2
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LINKS
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FORMULA
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-q*(d/dq)(q*(d/dq)E_2) = -q*(d/dq)((E_2^2 - E_4)/12) = -(E_2^3 - 3*E_2*E_4 + 2*E_6)/72.
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MATHEMATICA
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terms = 35;
E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
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CROSSREFS
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Cf. A006352 (E_2), A076835 (-q*(d/dq)E_2), this sequence (-q*(d/dq)(q*(d/dq)E_2)).
This sequence is related to A126858.
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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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