Triangle T(n,m) = C(n-1,n-m)*Sum_{k=1..n} C(2*k-2,k-1)*C(n-m,m-k)/m, m>0, n>0, n>=m.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =1a(7) =6a(8) =8a(9) =5a(10) =1a(11) =10a(12) =22a(13) =26a(14) =14a(15) =1a(16) =15a(17) =50a(18) =85a(19) =90a(20) =42a(21) =1a(22) =21a(23) =100a(24) =225a(25) =348a(26) =322a(27) =132a(28) =1a(29) =28