Binomial transform of A010054 (characteristic function of triangular numbers).

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =9a(5) =16a(6) =28a(7) =50a(8) =93a(9) =178a(10) =342a(11) =650a(12) =1223a(13) =2302a(14) =4383a(15) =8480a(16) =16609a(17) =32658a(18) =63973a(19) =124375a(20) =240181a(21) =462597a(22) =893388a(23) =1737375a(24) =3407429a(25) =6729596a(26) =13336532a(27) =26415118a(28) =52129356a(29) =102359648