A113687 Expansion of q^(-7/12)eta(q)eta(q^6)^3/(eta(q^2)eta(q^3)) in powers of q.

1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, -2, 0, -1, 0, 0, -1, 0, 1, 1, -1, 1, 0, -1, 0, 2, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, -1, 0, -1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0

Offset

0,64

Comments

|a(n)|<2 if n<63, |a(n)|<3 if n<742, |a(n)|<4 if n<8456.

Links

Table of n, a(n) for n=0..104.

Formula

Euler transform of period 6 sequence [ -1, 0, 0, 0, -1, -2, ...].

G.f.: Product_{k>0} (1-x^(6k))^2*(1-x^(6k-1))*(1-x^(6k-5)).

Prog

(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)*eta(x^6+A)^3/ eta(x^2+A)/eta(x^3+A), n))}

Crossrefs

Sequence in context: A281274 A191250 A107064 * A071006 A227740 A284503

Adjacent sequences: A113684 A113685 A113686 * A113688 A113689 A113690

Keyword

sign

Author

Michael Somos, Nov 05 2005

Status

approved