Coefficients of polynomials D(n,x) related to median Euler numbers.

Terms

a(0) =1a(1) =2a(2) =2a(3) =8a(4) =20a(5) =12a(6) =48a(7) =224a(8) =344a(9) =168a(10) =384a(11) =2880a(12) =8096a(13) =9872a(14) =4272a(15) =3840a(16) =42240a(17) =186816a(18) =407936a(19) =430688a(20) =171168a(21) =46080a(22) =698880a(23) =4451328a(24) =15030528a(25) =27944576a(26) =26627648a(27) =9915072a(28) =645120a(29) =12902400