|
| |
|
|
A113423
|
|
Expansion of q^(-1)eta(q^2)*eta(q^8)^2*eta(q^10)/eta(q^4) in powers of q^2.
|
|
0
| |
|
|
1, -1, 0, -1, -1, 0, 2, 1, 0, 2, -2, 1, -1, 2, -2, -2, -2, -1, 0, 2, 2, -3, 0, 1, 1, 2, 2, 0, 2, -2, 0, 1, 0, -3, 2, -2, 0, 1, -2, -4, -1, 1, 2, -4, 0, 2, 0, 0, 0, 0, 2, 3, 0, 3, 0, 2, -2, -1, -2, 2, -1, 0, 0, 7, 2, 0, -6, -2, -2, -2, -2, -2, 0, -3, 0, 2, 0, 0, 4, -2, -2, 5, -2, -1, 1, -2, 0, 1, 2, 2, -2, 0, 2, 2, 4, -2, 4, 0, 2, 0, -2, 2, 0, -3, 0
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,7
|
|
|
REFERENCES
| K. Ono, Ramanujan, taxicabs, birthdates, ZIP codes and twists, Amer. Math. Monthly 104 (1997), no. 10, 912-917, MR1490909 (98i:11020)
|
|
|
FORMULA
| Euler transform of period 20 sequence [ -1, 0, -1, -2, -2, 0, -1, -2, -1, -1, -1, -2, -1, 0, -2, -2, -1, 0, -1, -3, ...].
|
|
|
EXAMPLE
| q -q^3 -q^7 -q^9 +2*q^13 +q^15 +2*q^19 -2*q^21 +q^23 +...
|
|
|
PROG
| (PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)*eta(x^4+A)^2*eta(x^5+A)/eta(x^2+A), n))}
|
|
|
CROSSREFS
| Sequence in context: A068913 A128306 A170983 * A131258 A029366 A112848
Adjacent sequences: A113420 A113421 A113422 * A113424 A113425 A113426
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Michael Somos, Oct 31 2005
|
| |
|
|
