Triangle T(n,k) read by rows with T(n,0) = (2*n)! / (2^n * n!) for n >= 0 and T(n,k) = (Sum_{i=k..n} binomial(i-1,k-1) * 2^i * i! / (2*i)!) * (2*n)! / (2^n * n!) for 0 < k <= n.
A350557
Triangle T(n,k) read by rows with T(n,0) = (2*n)! / (2^n * n!) for n >= 0 and T(n,k) = (Sum_{i=k..n} binomial(i-1,k-1) * 2^i * i! / (2*i)!) * (2*n)! / (2^n * n!) for 0 < k <= n.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =1a(6) =15a(7) =21a(8) =7a(9) =1a(10) =105a(11) =148a(12) =52a(13) =10a(14) =1a(15) =945a(16) =1333a(17) =472a(18) =96a(19) =13a(20) =1a(21) =10395a(22) =14664a(23) =5197a(24) =1066a(25) =153a(26) =16a(27) =1a(28) =135135a(29) =190633
External references
- oeis: A350557