A168315 - OEIS

%I #3 Mar 30 2012 17:25:35

%S 1,0,1,0,2,1,0,0,2,3,0,0,2,6,5,0,0,0,6,10,13,0,0,0,6,10,26,29,0,0,0,0,

%T 10,26,58,71,0,0,0,0,10,26,58,142,165,0,0,0,0,0,26,58,142,330,401,0,0,

%U 0,0,0,26,58,142,330,802,957

%N Triangle read by rows, A168313 * the diagonalized variant of its eigensequence, A168314.

%C Row sums = A168314: (1, 1, 3, 5, 13, 29, 71, 165, 401, 957,...).

%C Rightmost column = A168314 prefaced with a 1.

%C Sum of n-th row terms = rightmost term of next row.

%F Let M = triangle A168313 and Q = in an infinite lower triangular matrix with

%F A168314 prefaced with a 1 as the rightmost diagonal with the rest of terms 0's.

%F Triangle A168315 = M*Q.

%e First few rows of the triangle =

%e 1;

%e 0, 1;

%e 0, 2, 1;

%e 0, 0, 2, 3;

%e 0, 0, 2, 6, 5;

%e 0, 0, 0, 6, 10, 13;

%e 0, 0, 0, 6, 10, 26, 29;

%e 0, 0, 0, 6, 10, 26, 58, 71;

%e 0, 0, 0, 0, 10, 26, 58, 142, 165;

%e 0, 0, 0, 0, 0, 26, 58, 142, 330, 401;

%e 0, 0, 0, 0, 0, 26, 58, 142, 330, 802, 957;

%e 0, 0, 0, 0, 0, 0, 58, 142, 330, 802, 1914, 2315;

%e 0, 0, 0, 0, 0, 0, 58, 142, 330, 802, 1914, 4630, 5561;

%e ...

%Y Cf. A168313, A168314

%K nonn,tabl

%O 1,5

%A _Gary W. Adamson_, Nov 22 2009