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Search: id:A126858
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| A126858 |
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Coefficients in quasimodular form F_2(q) of level 1 and weight 6. |
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+0
4
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| 0, 0, 1, 8, 30, 80, 180, 336, 620, 960, 1590, 2200, 3416, 4368, 6440, 7920, 11160, 13056, 18333, 20520, 27860, 31360, 41052, 44528, 59760, 62400, 80990, 87120, 109872, 113680, 147960, 148800, 188976, 196416, 240210, 243040, 311910, 303696, 376580, 385840
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OFFSET
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0,4
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REFERENCES
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B. Mazur, Perturbations, deformations and variations ..., Bull. Amer. Math. Soc., 41 (2004), 307-336.
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FORMULA
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F_2(q) = (5*E(2)^3-3*E(2)*E(4)-2*E(6))/51840 where E(k) is the normalized Eisenstein series of weight k (cf. A006352, etc.).
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EXAMPLE
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F_2(q) = q^2 + 8*q^3 + 30*q^4 + 80*q^5 + 180*q^6 + 336*q^7 + 620*q^8 + 960*q^9 + 1590*q^10 + 2200*q^11 + O(q^12).
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CROSSREFS
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Sequence in context: A100175 A063489 A002417 this_sequence A113751 A107233 A098213
Adjacent sequences: A126855 A126856 A126857 this_sequence A126859 A126860 A126861
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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), Mar 15 2007
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