Binomial transform of A002054.

Terms

a(0) =1a(1) =6a(2) =32a(3) =163a(4) =813a(5) =4013a(6) =19703a(7) =96477a(8) =471811a(9) =2306316a(10) =11274066a(11) =55128021a(12) =269688723a(13) =1320047550a(14) =6465047880a(15) =31682288305a(16) =155354522955a(17) =762235643450