|
Search: id:A109064
|
|
|
| A109064 |
|
Expansion of eta(q)^5/eta(q^5) in powers of q. |
|
+0
3
|
|
| 1, -5, 5, 10, -15, -5, -10, 30, 25, -35, 5, -60, 30, 60, -30, 10, -55, 80, 35, -100, -15, -60, 60, 110, -50, -5, -60, 100, 90, -150, -10, -160, 105, 120, -80, 30, -105, 180, 100, -120, 25, -210, 60, 210, -180, -35, -110, 230, 110, -215, 5, -160, 180, 260, -100, -60, -150, 200, 150, -300, 30, -310, 160
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
W. Duke, Continued fractions and modular functions, Bull. Amer. Math. Soc. 42 (2005), 137-162. See page 151.
|
|
FORMULA
|
Euler transform of period 5 sequence [ -5, -5, -5, -5, -4, ...].
G.f. A(x) satisfies 0=f(A(x), A(x^2), A(x^4)) where f(u, v, w)=v^3 + 2*u*v*w +u^2*w -4*u*w^2.
G.f.: Product_{k>0} (1-x^k)^5/(1-x^(5k)).
|
|
PROGRAM
|
(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)^5/eta(x^5+A), n))}
|
|
CROSSREFS
|
Sequence in context: A066256 A029842 A112436 this_sequence A138506 A000728 A022088
Adjacent sequences: A109061 A109062 A109063 this_sequence A109065 A109066 A109067
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Michael Somos, Jun 17 2005
|
|
|
Search completed in 0.002 seconds
|
