Triangle T(n,k), 0<=k<=n, read by rows, defined by: T(n,k)=0 if k>n, T(n,0) = A000108(n); T(n+1,k)= Sum_{j=0..n} T(n-j,k-1)*binomial(2j+1,j+1).

A090285

Triangle T(n,k), 0<=k<=n, read by rows, defined by: T(n,k)=0 if k>n, T(n,0) = A000108(n); T(n+1,k)= Sum_{j=0..n} T(n-j,k-1)*binomial(2j+1,j+1).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =1a(6) =5a(7) =15a(8) =7a(9) =1a(10) =14a(11) =56a(12) =37a(13) =10a(14) =1a(15) =42a(16) =210a(17) =176a(18) =68a(19) =13a(20) =1a(21) =132a(22) =792a(23) =794a(24) =392a(25) =108a(26) =16a(27) =1a(28) =429a(29) =3003

External references