Binomial transform of 1,8,48,256,1280,6144,... (cf. A002697).

Terms

a(0) =1a(1) =1a(2) =9a(3) =25a(4) =97a(5) =321a(6) =1097a(7) =3641a(8) =12033a(9) =39361a(10) =127945a(11) =413337a(12) =1328609a(13) =4251521a(14) =13551753a(15) =43046713a(16) =136314625a(17) =430467201a(18) =1355971721a(19) =4261625369a(20) =13366006881a(21) =41841412801a(22) =130754415049a(23) =407953774905