|
Search: id:A134415
|
|
|
| A134415 |
|
Expansion of q^(1/4) * eta(q^2)^5 / (eta(q)^8 * eta(q^4)^2) in powers of q. |
|
+0
2
|
|
| 1, 8, 39, 152, 513, 1560, 4382, 11552, 28899, 69168, 159372, 355224, 768885, 1621296, 3339201, 6732232, 13311450, 25854744, 49398043, 92953016, 172451760, 315744072, 570997539, 1020691248, 1804730732, 3158323272, 5473566645
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
Euler transform of period 4 sequence [ 8, 3, 8, 5, ...].
G.f.: Product_{k>0} (1 + x^k)^3 / ((1 - x^k)^5 * (1 + x^(2*k))^2).
|
|
EXAMPLE
|
1/q + 8*q^3 + 39*q^7 + 152*q^11 + 513*q^15 + 1560*q^19 + 4382*q^23 + ...
|
|
PROGRAM
|
(PARI) {a(n) = local(A); if( n<0, 0, A = x * O(x^n); polcoeff( eta(x^2 + A)^5 / (eta(x + A)^8 * eta(x^4 + A)^2), n))}
|
|
CROSSREFS
|
A134414(4*n-1) = a(n).
Sequence in context: A060446 A063002 A055581 this_sequence A097787 A045909 A120931
Adjacent sequences: A134412 A134413 A134414 this_sequence A134416 A134417 A134418
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Michael Somos, Oct 26 2007
|
|
|
Search completed in 0.002 seconds
|
