%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
|