T(n, k) = [x^(n-k)] 1/(((1 - 2*x)^k)*(1 - x)^(k + 1)). Triangle read by rows, for 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =11a(8) =7a(9) =1a(10) =1a(11) =26a(12) =30a(13) =10a(14) =1a(15) =1a(16) =57a(17) =102a(18) =58a(19) =13a(20) =1a(21) =1a(22) =120a(23) =303a(24) =256a(25) =95a(26) =16a(27) =1a(28) =1a(29) =247