A006354 Expansion of a cusp form of weight 8 for Gamma_1(6). (Formerly M5187)

1, 26, 165, 100, 570, 834, 1664, 856, 2151, 2460, 2316, 9588, 5270, 12160, 24930, 16912, 6498, 4086, 58732, 22440, 150144, 1464, 119112, 121416, 98825, 49604, 334179, 104192, 186018, 388980, 530168, 204704, 147132, 562932, 326400, 111420

Offset

1,2

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..36.

F. Beukers, Another congruence for the Apéry numbers, J. Number Theory 25 (1987), no. 2, 201-210.

Formula

(eta(z)^4*eta(2z)^4 - 9*eta(3z)^4*eta(6z)^4)^2.

Prog

(PARI) \ps 60; x*((eta(x)*eta(x^2))^4-9*x*(eta(x^3)*eta(x^6))^4)^2

Crossrefs

Sequence in context: A280213 A200874 A027280 * A249292 A279744 A214353

Adjacent sequences: A006351 A006352 A006353 * A006355 A006356 A006357

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 17 2000

Status

approved