Triangle, read by rows, T(n,k) = f(n,k) - f(n,0) + 1, where f(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k-j)!*j!) + Sum_{j=0..n-k} (-1)^j*(2*n - k)!/((n-j)!*(n-k-j)!*j!).

A176094

Triangle, read by rows, T(n,k) = f(n,k) - f(n,0) + 1, where f(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k-j)!*j!) + Sum_{j=0..n-k} (-1)^j*(2*n - k)!/((n-j)!*(n-k-j)!*j!).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =-78a(8) =-78a(9) =1a(10) =1a(11) =1070a(12) =1200a(13) =1070a(14) =1a(15) =1a(16) =-16530a(17) =-14665a(18) =-14665a(19) =-16530a(20) =1a(21) =1a(22) =240667a(23) =179242a(24) =163044a(25) =179242a(26) =240667a(27) =1a(28) =1a(29) =-2572332

External references