Triangle of coefficients of quasi-Stirling polynomials.

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =13a(5) =16a(6) =1a(7) =39a(8) =171a(9) =125a(10) =1a(11) =101a(12) =1091a(13) =2551a(14) =1296a(15) =1a(16) =243a(17) =5498a(18) =28838a(19) =43653a(20) =16807a(21) =1a(22) =561a(23) =24270a(24) =243790a(25) =780585a(26) =850809a(27) =262144a(28) =1a(29) =1263