Triangle T(n,k) = ((-1)^(n+k)/(n+1))*Sum_{j=0..n} (-1)^j*j!*Stirling2(n, j)* binomial(n-j, k)*binomial(n+j, j), read by rows.

A156653

Triangle T(n,k) = ((-1)^(n+k)/(n+1))*Sum_{j=0..n} (-1)^j*j!*Stirling2(n, j)* binomial(n-j, k)*binomial(n+j, j), read by rows.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =1a(4) =16a(5) =13a(6) =1a(7) =125a(8) =171a(9) =39a(10) =1a(11) =1296a(12) =2551a(13) =1091a(14) =101a(15) =1a(16) =16807a(17) =43653a(18) =28838a(19) =5498a(20) =243a(21) =1a(22) =262144a(23) =850809a(24) =780585a(25) =243790a(26) =24270a(27) =561a(28) =1a(29) =4782969

External references