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Search: id:A126861
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| A126861 |
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Coefficients in quasimodular form 12*F_4(q) of level 1 and weight 18. |
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+0
3
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| 0, 0, 1, 80, 1224, 9152, 45276, 170784, 534464, 1438848, 3507102, 7711600, 16053728, 30831552, 57578072, 100382304, 173117952, 280579200, 455656725, 697508496, 1079398256, 1580599552, 2351610612, 3315523424, 4785293568, 6534524160, 9173253878, 12226860576
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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_4(q) = (15*E(2)^4*E(4) - 6*E(2)^6 - 12*E(2)^2*E(4)^2 + 7*E(4)^3 + 4*E(2)^3*E(6) - 12*E(2)*E(4)*E(6) + 4*E(6)^2)/35831808, where E(k) is the normalized Eisenstein series of weight k (cf. A006352, etc.).
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EXAMPLE
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12*F_4(q) = q^2+80*q^3+1224*q^4+9152*q^5+45276*q^6+170784*q^7+534464*q^8+...
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CROSSREFS
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Cf. A126858-A126860.
Sequence in context: A062911 A024392 A052519 this_sequence A038727 A151603 A060623
Adjacent sequences: A126858 A126859 A126860 this_sequence A126862 A126863 A126864
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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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