Binomial transform of A000029.

Terms

a(0) =1a(1) =3a(2) =8a(3) =20a(4) =49a(5) =119a(6) =289a(7) =705a(8) =1731a(9) =4283a(10) =10690a(11) =26934a(12) =68531a(13) =176115a(14) =457110a(15) =1198128a(16) =3170607a(17) =8468277a(18) =22818167a(19) =61999531a(20) =169778889a(21) =468292663a(22) =1300270333a(23) =3632269293a(24) =10202425207a(25) =28798822159a(26) =81652955889a(27) =232429744843a(28) =663969970203