Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 3^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

A384364

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 3^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =21a(8) =9a(9) =1a(10) =1a(11) =219a(12) =657a(13) =27a(14) =1a(15) =1a(16) =3045a(17) =119241a(18) =22869a(19) =81a(20) =1a(21) =1a(22) =52923a(23) =40365873a(24) =80850987a(25) =836001a(26) =243a(27) =1a(28) =1a(29) =1103781

External references