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!)
A316723 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j=1..k} (1+x^j)/(1-x^j). 4

%I #20 Jul 14 2018 04:17:17

%S 1,1,0,1,2,0,1,2,2,0,1,2,4,2,0,1,2,4,6,2,0,1,2,4,8,8,2,0,1,2,4,8,12,

%T 10,2,0,1,2,4,8,14,18,12,2,0,1,2,4,8,14,22,26,14,2,0,1,2,4,8,14,24,34,

%U 34,16,2,0,1,2,4,8,14,24,38,50,44,18,2,0,1,2,4,8,14,24,40,58,70,56,20,2,0

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

%H Seiichi Manyama, <a href="/A316723/b316723.txt">Antidiagonals n = 0..139, flattened</a>

%e Square array begins:

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

%e 0, 2, 2, 2, 2, 2, 2, ...

%e 0, 2, 4, 4, 4, 4, 4, ...

%e 0, 2, 6, 8, 8, 8, 8, ...

%e 0, 2, 8, 12, 14, 14, 14, ...

%e 0, 2, 10, 18, 22, 24, 24, ...

%e 0, 2, 12, 26, 34, 38, 40, ...

%Y Columns k=0-10 give: A000007, A040000, A004277, A053799, A053798, A053800, A053801, A053802, A069251, A069252, A069253.

%Y Diagonal gives A015128.

%K nonn,tabl

%O 0,5

%A _Seiichi Manyama_, Jul 11 2018

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 April 18 06:08 EDT 2024. Contains 371767 sequences. (Running on oeis4.)