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A121592
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Expansion of (eta(q)eta(q^9)/eta(q^3)^2)^6 in powers of q.
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0
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1, -6, 9, 22, -102, 108, 221, -858, 810, 1476, -5262, 4572, 7802, -26112, 21519, 34918, -111870, 88452, 138332, -427980, 327852, 497592, -1497666, 1117692, 1655719, -4869876, 3556791, 5161808, -14891262, 10677096, 15226658, -43198938, 30485268
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| Euler transform of period 9 sequence [ -6, -6, 6, -6, -6, 6, -6, -6, 0, ...].
G.f. A(x) satisfies 0=f(A(x), A(x^2)) where f(u, v)=u^3+v^3-u*v+12*u*v*(u+v)+27*u^2*v^2.
G.f.: x*(Product_{k>0} (1-x^k)(1-x^(9k))/(1-x^(3k))^2)^6.
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PROG
| (PARI) {a(n)=local(A); if(n<1, 0, n--; A=x*O(x^n); polcoeff( (eta(x^5+A)/eta(x+A))^6, n))}
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CROSSREFS
| Sequence in context: A006132 A033705 A033704 * A034718 A155577 A084431
Adjacent sequences: A121589 A121590 A121591 * A121593 A121594 A121595
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KEYWORD
| sign
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AUTHOR
| Michael Somos, Aug 09 2006
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