Coefficients of partition Hermite-Eulerian polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]*Sum[Eulerian[n-1, k-1]*x^(k - 1), {k, 1, n}]/2^Floor[n/2]].
A171532
Coefficients of partition Hermite-Eulerian polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]*Sum[Eulerian[n-1, k-1]*x^(k - 1), {k, 1, n}]/2^Floor[n/2]].
Terms
- a(0) =1a(1) =0a(2) =2a(3) =-1a(4) =-1a(5) =2a(6) =2a(7) =0a(8) =-6a(9) =-24a(10) =-2a(11) =16a(12) =4a(13) =3a(14) =33a(15) =21a(16) =-129a(17) =-128a(18) =32a(19) =44a(20) =4a(21) =0a(22) =30a(23) =780a(24) =1940a(25) =-260a(26) =-2602a(27) =-832a(28) =488a(29) =208
External references
- oeis: A171532