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Square array of binomial related numbers, read by antidiagonals.
3

%I #4 Mar 30 2012 18:58:53

%S 0,1,0,1,1,0,1,5,1,0,1,10,9,1,0,1,15,31,13,1,0,1,21,69,64,17,1,0,1,28,

%T 126,195,109,21,1,0,1,36,210,456,425,166,25,1,0,1,45,330,923,1231,791,

%U 235,29,1,0,1,55,495,1716,2975,2751,1325,316,33,1,0,1,66,715,3003,6427

%N Square array of binomial related numbers, read by antidiagonals.

%C Rows include A016813, A085473, A085474.

%F T(n, k)=C(2n+k, k)-C(2n, k).

%e Rows begin

%e 0 0 0 0 0 ...

%e 1 1 1 1 1 ...

%e 1 5 9 13 17 ...

%e 1 10 31 64 109 ...

%e 1 15 69 195 425 ...

%K easy,nonn,tabl

%O 0,8

%A _Paul Barry_, Jul 01 2003