Coefficients of a Hermite-like polynomial from Eulerian polynomials: p(x,n) = Sum_{k=1..n+1} [Eulerian(n + 1, k - 1)*x^(k - 1)]; q(x,n) = p''(x,n) - x*p'(x,n) + n*p(x,n).

A171633

Coefficients of a Hermite-like polynomial from Eulerian polynomials: p(x,n) = Sum_{k=1..n+1} [Eulerian(n + 1, k - 1)*x^(k - 1)]; q(x,n) = p''(x,n) - x*p'(x,n) + n*p(x,n).

Terms

    a(0) =1a(1) =4a(2) =4a(3) =25a(4) =28a(5) =11a(6) =136a(7) =234a(8) =144a(9) =26a(10) =609a(11) =2040a(12) =1590a(13) =624a(14) =57a(15) =2388a(16) =15096a(17) =19056a(18) =9648a(19) =2412a(20) =120a(21) =8593a(22) =95196a(23) =208893a(24) =148336a(25) =54267a(26) =8628a(27) =247a(28) =29224a(29) =532918

External references