Triangle of generalized Stirling numbers of the second kind S(n,k) associated with the generalized Bell numbers A271049(n); S(n,k) = Sum_{j=0..k} (-1)^(k-j)*binomial(k,j)*Gamma((j+2)/3)*Gamma(3*n+j-1)/(Gamma(j)*Gamma(n+(j-1)/3))/(3^(n-1)*k!).
A271204
Triangle of generalized Stirling numbers of the second kind S(n,k) associated with the generalized Bell numbers A271049(n); S(n,k) = Sum_{j=0..k} (-1)^(k-j)*binomial(k,j)*Gamma((j+2)/3)*Gamma(3*n+j-1)/(Gamma(j)*Gamma(n+(j-1)/3))/(3^(n-1)*k!).
Terms
- a(0) =1a(1) =2a(2) =1a(3) =40a(4) =50a(5) =14a(6) =1a(7) =2240a(8) =4240a(9) =2200a(10) =440a(11) =36a(12) =1a(13) =246400a(14) =608960a(15) =447200a(16) =141520a(17) =22080a(18) =1760a(19) =68a(20) =1a(21) =44844800a(22) =134780800a(23) =125843200a(24) =53412800a(25) =12015360a(26) =1538320a(27) =114800a(28) =4900a(29) =110
External references
- oeis: A271204