A triangular sequence of polynomial coefficients:p(x,n)=Sum[Eulerian[n + 1, k]*Product[x + i, {i, 0, n - k + 1}]*(-x)^k, {k, 0, n}]/x.
A174833
A triangular sequence of polynomial coefficients:p(x,n)=Sum[Eulerian[n + 1, k]*Product[x + i, {i, 0, n - k + 1}]*(-x)^k, {k, 0, n}]/x.
Terms
- a(0) =1a(1) =2a(2) =2a(3) =6a(4) =3a(5) =-5a(6) =-2a(7) =24a(8) =-16a(9) =-64a(10) =-24a(11) =120a(12) =-350a(13) =-679a(14) =-151a(15) =74a(16) =16a(17) =720a(18) =-5076a(19) =-6746a(20) =1198a(21) =2692a(22) =544a(23) =5040a(24) =-73332a(25) =-55628a(26) =80239a(27) =68081a(28) =8858a(29) =-2000
External references
- oeis: A174833