Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * Sum_{j=1..n} 3^j * binomial(n,j) * binomial(k*n,j-1) for n > 0.

A336575

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * Sum_{j=1..n} 3^j * binomial(n,j) * binomial(k*n,j-1) for n > 0.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =1a(4) =3a(5) =3a(6) =1a(7) =3a(8) =12a(9) =3a(10) =1a(11) =3a(12) =21a(13) =57a(14) =3a(15) =1a(16) =3a(17) =30a(18) =192a(19) =300a(20) =3a(21) =1a(22) =3a(23) =39a(24) =408a(25) =2001a(26) =1686a(27) =3a(28) =1a(29) =3

External references