A symmetrical triangular sequence adjusted by -t[n,-1]+1 :t(n,m)=If[n == 0, 1, Sum[Binomial[n, k]*Eulerian[n + 1, k]*(-1)^k*(m + 1 - k)^n, {k, 0, n}]].
A174588
A symmetrical triangular sequence adjusted by -t[n,-1]+1 :t(n,m)=If[n == 0, 1, Sum[Binomial[n, k]*Eulerian[n + 1, k]*(-1)^k*(m + 1 - k)^n, {k, 0, n}]].
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =7a(5) =1a(6) =1a(7) =181a(8) =181a(9) =1a(10) =1a(11) =751a(12) =1761a(13) =751a(14) =1a(15) =1a(16) =-323399a(17) =-354899a(18) =-354899a(19) =-323399a(20) =1a(21) =1a(22) =-20873579a(23) =-27315455a(24) =-27944027a(25) =-27315455a(26) =-20873579a(27) =1a(28) =1a(29) =1429118713
External references
- oeis: A174588