Triangle read by rows:t(n,m)=Sum[StirlingS2[n, k]*Eulerian[n - k + 1, m]*(-1)^(n - k - m)*k!, {k, 0, n}].
A174553
Triangle read by rows:t(n,m)=Sum[StirlingS2[n, k]*Eulerian[n - k + 1, m]*(-1)^(n - k - m)*k!, {k, 0, n}].
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =-9a(8) =3a(9) =1a(10) =1a(11) =-56a(12) =-114a(13) =4a(14) =1a(15) =1a(16) =-55a(17) =-590a(18) =-770a(19) =5a(20) =1a(21) =1a(22) =426a(23) =6735a(24) =-2920a(25) =-4185a(26) =6a(27) =1a(28) =1a(29) =-245
External references
- oeis: A174553