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A126860
Denominators of coefficients in quasimodular form F_3(q) of level 1 and weight 12.
3
1, 1, 12, 3, 1, 3, 1, 1, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 4, 1, 3, 3, 1, 3, 1, 1, 6, 1, 1, 3, 1, 1, 1, 1, 2, 3, 1, 1, 3, 3, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 12, 1, 1, 1, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 6, 3, 1, 3, 1, 1, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 4, 1, 1
OFFSET
0,3
FORMULA
F_3(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.).
EXAMPLE
F_3(q) = (1/12)*q^2 + (20/3)*q^3 + 102*q^4 + (2288/3)*q^5 + 3773*q^6 + 14232*q^7 + ...
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Mar 15 2007
EXTENSIONS
More terms from Seiichi Manyama, May 18 2019
STATUS
approved