The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A104468 Coefficients of the B-Bailey Mod 9 identity. 3

%I #10 Oct 14 2019 11:44:35

%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="http://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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 14 00:47 EDT 2024. Contains 372528 sequences. (Running on oeis4.)