Binomial transform of primes.

Terms

a(0) =2a(1) =5a(2) =13a(3) =33a(4) =83a(5) =205a(6) =495a(7) =1169a(8) =2707a(9) =6169a(10) =13889a(11) =30993a(12) =68701a(13) =151469a(14) =332349a(15) =725837a(16) =1577751a(17) =3413221a(18) =7349029a(19) =15751187a(20) =33616925a(21) =71475193a(22) =151466705a(23) =320072415a(24) =674721797a(25) =1419327223a(26) =2979993519a(27) =6245693407a(28) =13068049163