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A006354 Expansion of a cusp form of weight 8 for Gamma_1(6).
(Formerly M5187)
0

%I M5187

%S 1,26,165,100,570,834,1664,856,2151,2460,2316,9588,5270,12160,24930,

%T 16912,6498,4086,58732,22440,150144,1464,119112,121416,98825,49604,

%U 334179,104192,186018,388980,530168,204704,147132,562932,326400,111420

%N Expansion of a cusp form of weight 8 for Gamma_1(6).

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

%H F. Beukers, <a href="http://dx.doi.org/10.1016/0022-314X(87)90025-4">Another congruence for the Apéry numbers</a>, J. Number Theory 25 (1987), no. 2, 201-210.

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

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

%K nonn

%O 1,2

%A _N. J. A. Sloane_

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

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Last modified August 16 07:50 EDT 2022. Contains 356160 sequences. (Running on oeis4.)