a(n) = 2^n*E2poly(n, -1/2), where E2poly(n, x) = Sum_{k=0..n} A340556(n, k)*x^k, are the second-order Eulerian polynomials.

A341106

a(n) = 2^n*E2poly(n, -1/2), where E2poly(n, x) = Sum_{k=0..n} A340556(n, k)*x^k, are the second-order Eulerian polynomials.

Terms

    a(0) =1a(1) =-1a(2) =0a(3) =6a(4) =-12a(5) =-144a(6) =1080a(7) =5184a(8) =-127008a(9) =95904a(10) =19077120a(11) =-154929024a(12) =-3210337152a(13) =70284900096a(14) =391453171200

External references