Numerators in expansion of Euler transform of b(n) = 1/3.

Terms

a(0) =1a(1) =1a(2) =5a(3) =50a(4) =215a(5) =646a(6) =8711a(7) =25475a(8) =105925a(9) =3091270a(10) =11691247a(11) =36809705a(12) =445872155a(13) =1364113925a(14) =5085042010a(15) =50975292560a(16) =183383680088a(17) =588817265695