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!)
A286950 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1 - x^j)/(1 - x^(k*j))^k. 4

%I #19 Jan 06 2018 18:46:31

%S 1,1,-1,1,0,-1,1,-1,0,0,1,-1,1,0,0,1,-1,-1,-2,0,1,1,-1,-1,3,3,0,0,1,

%T -1,-1,0,-3,-4,0,1,1,-1,-1,0,4,-2,5,0,0,1,-1,-1,0,0,-3,9,-7,0,0,1,-1,

%U -1,0,0,6,-4,-8,10,0,0,1,-1,-1,0,0,1,-5,1,-6,-13,0,0,1

%N Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1 - x^j)/(1 - x^(k*j))^k.

%H Seiichi Manyama, <a href="/A286950/b286950.txt">Antidiagonals n = 0..139, flattened</a>

%F G.f. of column k: Product_{j>=1} (1 - x^j)/(1 - x^(k*j))^k.

%e Square array begins:

%e 1, 1, 1, 1, 1, ...

%e -1, 0, -1, -1, -1, ...

%e -1, 0, 1, -1, -1, ...

%e 0, 0, -2, 3, 0, ...

%e 0, 0, 3, -3, 4, ...

%Y Columns k=0-4 give: A010815, A000007, A106507, A286952, A286953.

%Y Diagonal gives A286956.

%Y Cf. A175595.

%K sign,tabl

%O 0,19

%A _Seiichi Manyama_, May 17 2017

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 20 06:19 EDT 2024. Contains 372703 sequences. (Running on oeis4.)