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T(n,k) = S(2n,n-1,k-1), 0 <= k <= n, n >= 0, array S as in A050157.
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%I #12 Aug 09 2021 01:11:56

%S 0,1,1,2,3,4,5,9,14,15,14,28,48,55,56,42,90,165,200,209,210,132,297,

%T 572,726,780,791,792,429,1001,2002,2639,2912,2989,3002,3003,1430,3432,

%U 7072,9620,10880,11320,11424,11439,11440,4862,11934,25194,35190,40698,42942

%N T(n,k) = S(2n,n-1,k-1), 0 <= k <= n, n >= 0, array S as in A050157.

%F T(n, k) = Sum_{j=0..k} t(n, j), array t as in A050145.

%e Rows: {0}; {1,1}; {2,3,4}; ...

%K nonn,tabl

%O 0,4

%A _Clark Kimberling_

%E a(9) corrected and more terms from _Sean A. Irvine_, Aug 08 2021