The first subdiagonal of the array of A141425 and its higher order differences.

Terms

a(0) =1a(1) =-1a(2) =-2a(3) =23a(4) =28a(5) =-7a(6) =22a(7) =251a(8) =376a(9) =149a(10) =658a(11) =3143a(12) =5188a(13) =4913a(14) =13102a(15) =42611a(16) =75376a(17) =101549a(18) =232618a(19) =612863a(20) =1137148a(21) =1831433a(22) =3928582a(23) =9185771a(24) =17574376a(25) =31162949a(26) =64717378a(27) =141392183a(28) =275609908a(29) =515347553