A104468 - OEIS

%I #11 Feb 16 2025 08:32:56

%S 1,0,-1,1,0,-1,2,-1,-2,3,-1,-3,5,-1,-5,7,-2,-7,11,-3,-11,15,-4,-14,22,

%T -6,-21,30,-8,-28,42,-11,-39,55,-15,-51,76,-20,-70,99,-26,-90,132,-35,

%U -120,171,-45,-154,223,-58,-201,285,-75,-255,368,-96,-329,465,-121,-413,592,-154,-525,743,-193,-656,935,-242

%N Coefficients of the B-Bailey Mod 9 identity.

%H Seiichi Manyama, <a href="/A104468/b104468.txt">Table of n, a(n) for n = 0..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BaileyMod9Identities.html">Bailey Mod 9 Identities</a>

%F G.f.: Product_{k>0} (1-x^(9*k-2)) * (1-x^(9*k-7)) / ( (1-x^(9*k-3)) * (1-x^(9*k-6)) ). - _Seiichi Manyama_, Oct 14 2019

%e G.f.: 1 - q^2 + q^3 - q^5 + 2*q^6 - q^7 - 2*q^8 + 3*q^9 - q^10 + ...

%o (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-x^(9*k-2))*(1-x^(9*k-7))/((1-x^(9*k-3))*(1-x^(9*k-6))))) \\ _Seiichi Manyama_, Oct 14 2019

%Y Cf. A104467, A104469.

%K sign

%O 0,7

%A _Eric W. Weisstein_, Mar 09 2005