login
Triangle of Eulerian numbers squared: A008292(n,m)^2 read by rows.
1

%I #9 Mar 12 2014 16:37:17

%S 1,1,1,1,16,1,1,121,121,1,1,676,4356,676,1,1,3249,91204,91204,3249,1,

%T 1,14400,1418481,5837056,1418481,14400,1,1,61009,18429849,243953161,

%U 243953161,18429849,61009,1,1,252004,213393664,7785238756,24395316100,7785238756,213393664,252004,1,1,1026169

%N Triangle of Eulerian numbers squared: A008292(n,m)^2 read by rows.

%C Row sums are A168562.

%e 1;

%e 1, 1;

%e 1, 16, 1;

%e 1, 121, 121, 1;

%e 1, 676, 4356, 676, 1;

%e 1, 3249, 91204, 91204, 3249, 1;

%e 1, 14400, 1418481, 5837056, 1418481, 14400, 1;

%t << DiscreteMath`Combinatorica`;

%t a = Table[Table[Eulerian[n + 1, m]^2, {m, 0, n}], {n, 0, 10}];

%t Flatten[%]

%Y Cf. A008292, A014732, A014748, A014765, A168562

%K nonn,tabl

%O 1,5

%A _Roger L. Bagula_, Dec 13 2010