Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = Sum_{j=0..n} k^j * binomial(n,j) * Catalan(j+1).

A386408

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = Sum_{j=0..n} k^j * binomial(n,j) * Catalan(j+1).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =5a(8) =10a(9) =1a(10) =1a(11) =7a(12) =29a(13) =36a(14) =1a(15) =1a(16) =9a(17) =58a(18) =185a(19) =137a(20) =1a(21) =1a(22) =11a(23) =97a(24) =532a(25) =1257a(26) =543a(27) =1a(28) =1a(29) =13

External references