T(n, k) = [x^k] Sum_{k=0..n} Stirling1(n, k)*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n.
A325872
T(n, k) = [x^k] Sum_{k=0..n} Stirling1(n, k)*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =-2a(5) =1a(6) =0a(7) =7a(8) =-6a(9) =1a(10) =0a(11) =-35a(12) =40a(13) =-12a(14) =1a(15) =0a(16) =228a(17) =-315a(18) =130a(19) =-20a(20) =1a(21) =0a(22) =-1834a(23) =2908a(24) =-1485a(25) =320a(26) =-30a(27) =1a(28) =0a(29) =17582
External references
- oeis: A325872