T(n, k) = ((2*n + 1)/2)*Sum_{j, k, n} (-1)^(k + j)*(n + j)*binomial(2*n, n - j)* Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.
A342312
T(n, k) = ((2*n + 1)/2)*Sum_{j, k, n} (-1)^(k + j)*(n + j)*binomial(2*n, n - j)* Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.
Terms
- a(0) =1a(1) =0a(2) =3a(3) =0a(4) =0a(5) =10a(6) =0a(7) =0a(8) =-42a(9) =21a(10) =0a(11) =0a(12) =216a(13) =-288a(14) =36a(15) =0a(16) =0a(17) =-1320a(18) =3190a(19) =-1210a(20) =55a(21) =0a(22) =0a(23) =9360a(24) =-34632a(25) =25584a(26) =-4056a(27) =78a(28) =0a(29) =0
External references
- oeis: A342312