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Triangle read by rows: T(n,m) = Sum Catalan(n-k)*Catalan(k), k=0..m.
2

%I #7 Aug 02 2015 10:45:08

%S 0,0,1,0,1,2,0,2,3,5,0,5,7,9,14,0,14,19,23,28,42,0,42,56,66,76,90,132,

%T 0,132,174,202,227,255,297,429,0,429,561,645,715,785,869,1001,1430,0,

%U 1430,1859,2123,2333,2529,2739,3003,3432,4862,0,4862,6292,7150

%N Triangle read by rows: T(n,m) = Sum Catalan(n-k)*Catalan(k), k=0..m.

%e 0;

%e 0,1;

%e 0,1,2;

%e 0,2,3,5;

%e 0,5,7,9,14;

%e 0,14,19,23,28,42; ...

%Y See A028364 for a better version. Cf. A028377, A028378.

%K tabl,nonn,easy

%O 0,6

%A _Wouter Meeussen_