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Triangle read by rows: reversed partial sums of Narayana triangle rows.
1

%I #5 Mar 31 2012 13:20:57

%S 1,2,1,5,4,1,14,13,7,1,42,41,31,11,1,132,131,116,66,16,1,429,428,407,

%T 302,127,22,1,1430,1429,1401,1205,715,225,29,1,4862,4861,4825,4489,

%U 3313,1549,373,37,1,16796,16795,16750,16210,13690,8398,3106,586,46,1

%N Triangle read by rows: reversed partial sums of Narayana triangle rows.

%C The first column is A000108, the Catalan numbers.

%C If triangles are viewed as lower triangular matrices, then this triangle is A*B where A is the Narayana triangle A001263 and B is the triangle filled with ones.

%F For 1 <= k <= n, T(n, k) = Sum_{i=k..n} A001263(n, i).

%Y Cf. A000108, A001263.

%K nonn,tabl,easy

%O 1,2

%A _Gary W. Adamson_, Mar 19 2005

%E Edited and extended by _David Wasserman_, Nov 02 2005