Coefficients of polynomials S(n,x) related to Springer numbers.

Terms

a(0) =1a(1) =8a(2) =7a(3) =128a(4) =304a(5) =177a(6) =3072a(7) =13952a(8) =21080a(9) =10199a(10) =98304a(11) =724992a(12) =2016000a(13) =2441056a(14) =1051745a(15) =3932160a(16) =42762240a(17) =187643904a(18) =407505664a(19) =428605352a(20) =169913511a(21) =188743680a(22) =2839019520a(23) =17974591488a(24) =60428242944a(25) =111985428352