A050160 T(n,k) = S(2n,n-1,k-1), 0 <= k <= n, n >= 0, array S as in A050157.
0, 1, 1, 2, 3, 4, 5, 9, 14, 15, 14, 28, 48, 55, 56, 42, 90, 165, 200, 209, 210, 132, 297, 572, 726, 780, 791, 792, 429, 1001, 2002, 2639, 2912, 2989, 3002, 3003, 1430, 3432, 7072, 9620, 10880, 11320, 11424, 11439, 11440, 4862, 11934, 25194, 35190, 40698, 42942
Offset: 0
Examples
Rows: {0}; {1,1}; {2,3,4}; ...
Formula
T(n, k) = Sum_{j=0..k} t(n, j), array t as in A050145.
Extensions
a(9) corrected and more terms from Sean A. Irvine, Aug 08 2021