|
Search: id:A002508
|
|
|
| A002508 |
|
Expansion of a modular function for Gamma_0(6).
(Formerly M1910 N0754)
|
|
+0
2
|
|
| 1, -2, 9, -4, 28, 18, 118, 80, 504, 466, 1631, 2160, 5466, 7498, 17658, 25088, 51944, 78660, 149099, 226544, 412920, 627830, 1090006, 1671840, 2796805, 4263984, 6969690, 10555224, 16836620, 25396506, 39699240, 59409184, 91460952, 135795598, 205951071, 303740496, 454672142
(list; graph; listen)
|
|
|
OFFSET
|
3,2
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
Newman, Morris; Construction and application of a class of modular functions. II. Proc. London Math. Soc. (3) 9 1959 373-387.
|
|
FORMULA
|
eta(z)^2*eta(6z)^22/(eta(2z)^10*eta(3z)^14).
Euler transform of period 6 sequence [ -2, 8, 12, 8, -2, 0, ...]. - Michael Somos Nov 10 2005
|
|
PROGRAM
|
(PARI) {a(n)=local(A); if(n<3, 0, n-=3; A=x*O(x^n); polcoeff( eta(x+A)^2*eta(x^6+A)^22/ eta(x^2+A)^10/eta(x^3+A)^14, n))} /* Michael Somos Nov 10 2005 */
|
|
CROSSREFS
|
Reciprocal series to A002507. Cf. A002509.
Sequence in context: A022157 A065599 A054789 this_sequence A038215 A119019 A127145
Adjacent sequences: A002505 A002506 A002507 this_sequence A002509 A002510 A002511
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jan 14 2001
|
|
|
Search completed in 0.002 seconds
|
