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A006354 Expansion of a cusp form of weight 8 for Gamma_1(6).
(Formerly M5187)
+0
1
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 (list; graph; listen)
OFFSET

1,2

REFERENCES

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

Beukers, F.; Another congruence for the Apery 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.

PROGRAM

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

CROSSREFS

Sequence in context: A014552 A042314 A027280 this_sequence A037052 A156339 A125336

Adjacent sequences: A006351 A006352 A006353 this_sequence A006355 A006356 A006357

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

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

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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