A124819 - OEIS

%I #2 Mar 30 2012 18:59:18

%S 1,2,1,3,5,1,4,15,8,1,5,35,36,11,1,6,70,120,66,14,1,7,126,330,286,105,

%T 17,1,8,210,792,1001,560,153,20,1,9,330,1716,3003,2380,969,210,23,1,

%U 10,495,3432,8008,8568,4845,1540,276

%N Number triangle T(n,k)=C(n+2k+1,3k+1).

%C Row sums are A124820. Diagonal sums are A052921. Inverse is A124821.

%F Riordan array (1/(1-x)^2,x/(1-x)^3)

%e Triangle begins

%e 1,

%e 2, 1,

%e 3, 5, 1,

%e 4, 15, 8, 1,

%e 5, 35, 36, 11, 1,

%e 6, 70, 120, 66, 14, 1,

%e 7, 126, 330, 286, 105, 17, 1,

%e 8, 210, 792, 1001, 560, 153, 20, 1

%K easy,nonn,tabl

%O 0,2

%A _Paul Barry_, Nov 08 2006