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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

B. Mazur, Perturbations, deformations and variations (and "near-misses") in geometry, physics, and number theory, Bull. Amer. Math. Soc., 41 (2004), 307-336.

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

Cf. A126858, A126859, A126861.

Sequence in context: A302799 A213059 A038328 * A010203 A113923 A129197

Adjacent sequences:  A126857 A126858 A126859 * A126861 A126862 A126863

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Mar 15 2007

EXTENSIONS

More terms from Seiichi Manyama, May 18 2019

STATUS

approved

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Last modified July 5 06:34 EDT 2020. Contains 335459 sequences. (Running on oeis4.)