Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)*(n-i)!*Stirling1(i,k)*TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)*Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.
A370518
Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)*(n-i)!*Stirling1(i,k)*TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)*Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.
Terms
- a(0) =1a(1) =-5a(2) =1a(3) =14a(4) =-9a(5) =1a(6) =-18a(7) =29a(8) =-12a(9) =1a(10) =0a(11) =-22a(12) =35a(13) =-14a(14) =1a(15) =0a(16) =-26a(17) =15a(18) =25a(19) =-15a(20) =1a(21) =0a(22) =-60a(23) =4a(24) =75a(25) =-5a(26) =-15a(27) =1a(28) =0a(29) =-204
External references
- oeis: A370518