A269950 Triangle read by rows, T(n,k) = denominator(binomial(1/2,n-k))*binomial(n+1/2, k+1/2), for n>=0 and 0<=k<=n.
1, 3, 1, 15, 5, 1, 35, 35, 7, 1, 315, 105, 63, 9, 1, 693, 1155, 231, 99, 11, 1, 3003, 3003, 3003, 429, 143, 13, 1, 6435, 15015, 9009, 6435, 715, 195, 15, 1, 109395, 36465, 51051, 21879, 12155, 1105, 255, 17, 1, 230945, 692835, 138567, 138567, 46189, 20995, 1615, 323, 19, 1
Offset: 0
Examples
Triangle starts: [1] [3, 1] [15, 5, 1] [35, 35, 7, 1] [315, 105, 63, 9, 1] [693, 1155, 231, 99, 11, 1] [3003, 3003, 3003, 429, 143, 13, 1] [6435, 15015, 9009, 6435, 715, 195, 15, 1]