A013975 Modular form of level 4 and weight 1/2.

1, 0, 0, 0, 6, 504, 0, 0, 143388, 565760, 0, 0, 18473000, 51180024, 0, 0, 818626500, 1912896000, 0, 0, 20556578700, 43222528000, 0, 0, 357139677440, 697599931392, 0, 0, 4764286992816, 8806299845112, 0, 0, 51954490735875, 91956846489088, 0, 0

Offset

-4,5

Links

Table of n, a(n) for n=-4..31.

R. E. Borcherds, Automorphic forms on O_{s+2,2}(R)^{+} and generalized Kac-Moody algebras, pp. 744-752 of Proc. Intern. Congr. Math., Vol. 2, 1994.

Formula

(j(4z)-852)*theta_3(z)-2*KZ(z)*E6(4z)/del_12(4z) where KZ(z) is the cusp form of weight 1 3/2 given by A054891, del_12(z) is the unique cusp form of weight 12.

Formula and more terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jan 11 2001

Crossrefs

Sequence in context: A123278 A127605 A278775 * A272094 A103520 A223050

Adjacent sequences: A013972 A013973 A013974 * A013976 A013977 A013978

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved