Voozh

A027113

Triangular array T given by rows: T(n,0)=1 for n >= 0, T(n,1)=1,T(n,2)=2 for n >= 1 and for n >= 2, T(n,k)=T(n-1,k-3)+T(n-1,k-2)+T(n-1,k-1) for 3<=k<=2n-1, T(n,2n)=T(n-1,2n-3)+T(n-1,2n-2).

1, 1, 1, 2, 1, 1, 2, 4, 3, 1, 1, 2, 4, 7, 9, 7, 1, 1, 2, 4, 7, 13, 20, 23, 16, 1, 1, 2, 4, 7, 13, 24, 40, 56, 59, 39, 1, 1, 2, 4, 7, 13, 24, 44, 77, 120, 155, 154, 98, 1, 1, 2, 4, 7, 13, 24, 44, 81, 145, 241, 352, 429, 407, 252, 1, 1, 2, 4, 7, 13, 24