|
Search: id:A034436
|
|
|
| A034436 |
|
Expansion of (eta(q)*eta(q^9))^12 in powers of q. |
|
+0
1
|
|
| 1, -12, 54, -88, -99, 540, -418, -648, 594, 824, 1200, -4752, 847, 5292, -7074, 9272, 1296, -11880, -10276, -8304, 69390, -14344, -59940, 34992, -82707, 35640, 108594, 77792, -12144, -440748, 106920, 303192, -86616, 397176, -158112, -589680, -372117, 302016
(list; graph; listen)
|
|
|
OFFSET
|
5,2
|
|
|
FORMULA
|
Euler transform of period 9 sequence [ -12, -12, -12, -12, -12, -12, -12, -12, -24, ...]. - Michael Somos Sep 21 2005
G.f.: x^5(Product_{k>0} (1-x^k)(1-x^(9k)))^12 . - Michael Somos Sep 21 2005
|
|
PROGRAM
|
(PARI) {a(n)=local(A); if(n<5, 0, n-=5; A=x*O(x^n); polcoeff( (eta(x+A)*eta(x^9+A))^12, n))} /* Michael Somos Sep 21 2005 */
|
|
CROSSREFS
|
Sequence in context: A030182 A060171 A133078 this_sequence A000735 A022704 A060785
Adjacent sequences: A034433 A034434 A034435 this_sequence A034437 A034438 A034439
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
