|
Search: id:A094022
|
|
|
| A094022 |
|
Expansion of et(q^2)eta(q^30)/(eta(q^3)eta(q^5)) in powers of q. |
|
+0
1
|
|
| 1, 0, -1, 1, -1, 0, 2, -2, -1, 2, 0, -1, 2, -2, -3, 7, -2, -6, 8, -5, -2, 12, -10, -6, 13, -4, -7, 14, -10, -14, 32, -12, -24, 36, -22, -13, 50, -36, -26, 56, -22, -30, 62, -40, -51, 114, -46, -79, 129, -76, -54, 170, -114, -90, 192, -82, -104, 216, -132, -159, 350, -152, -230, 397, -226, -180, 506, -322, -270, 574, -260
(list; graph; listen)
|
|
|
OFFSET
|
1,7
|
|
|
FORMULA
|
G.f. A(x) satisfies 0=f(A(x),A(x^2)) where f(u,v)=u^2-v+2v^2-2uv^2.
G.f. A(x) satisfies A(x)+A(-x)=2A(x^2)^2, (1-A(x))(1-A(-x))=1-A(x^2).
Euler transform of period 30 sequence [ -1,1,-1,1,0,0,-1,1,0,0,0,0,-1,2,-1,0,0,0,0,1,-1,0,0,1,-1,1,-1,0,0,0,...].
|
|
PROGRAM
|
(PARI) {a(n)=local(A); if(n<1, 0, n--; A=x*O(x^n); polcoeff( eta(x^2+A)*eta(x^30+A)/eta(x^3+A)/eta(x^5+A), n))}
|
|
CROSSREFS
|
Adjacent sequences: A094019 A094020 A094021 this_sequence A094023 A094024 A094025
Sequence in context: A039965 A074942 A043754 this_sequence A128580 A129402 A134177
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Michael Somos, Apr 22 2004
|
|
|
Search completed in 0.002 seconds
|
