Numerators of triangular array: T(n,1)=T(n,n)=1/n and T(n,k)=T(n-1,k-1)+T(n-1,k), 1<k<n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =4a(8) =4a(9) =1a(10) =1a(11) =19a(12) =8a(13) =19a(14) =1a(15) =1a(16) =107a(17) =17a(18) =17a(19) =107a(20) =1a(21) =1a(22) =39a(23) =181a(24) =17a(25) =181a(26) =39a(27) =1a(28) =1a(29) =293