A triangle sequence of polynomial coefficients:p(x,n)=Sum[Eulerian[n+1, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].
A174860
A triangle sequence of polynomial coefficients:p(x,n)=Sum[Eulerian[n+1, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =-3a(6) =0a(7) =1a(8) =-8a(9) =-21a(10) =0a(11) =1a(12) =-19a(13) =-110a(14) =281a(15) =0a(16) =1a(17) =-42a(18) =-528a(19) =2813a(20) =2508a(21) =0a(22) =1a(23) =-89a(24) =-2439a(25) =23770a(26) =25700a(27) =-105023a(28) =0a(29) =1
External references
- oeis: A174860