Coefficients of certain polynomials (rising powers).

Terms

a(0) =1a(1) =2a(2) =1a(3) =6a(4) =6a(5) =2a(6) =24a(7) =36a(8) =22a(9) =6a(10) =120a(11) =240a(12) =210a(13) =100a(14) =24a(15) =720a(16) =1800a(17) =2040a(18) =1350a(19) =548a(20) =120a(21) =5040a(22) =15120a(23) =21000a(24) =17640a(25) =9744a(26) =3528a(27) =720a(28) =40320a(29) =141120