Coefficients of polynomials (n-1)!*P(n,k), P(n,k) = Sum_{i=0..n} Stirling2(n,i)*binomial(k+i-1,k).

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =9a(5) =10a(6) =1a(7) =24a(8) =107a(9) =90a(10) =1a(11) =50a(12) =575a(13) =1750a(14) =1248a(15) =1a(16) =90a(17) =2135a(18) =16050a(19) =38244a(20) =24360a(21) =1a(22) =147a(23) =6265a(24) =95445a(25) =537334a(26) =1078728a(27) =631440a(28) =1a(29) =224