Binomial transform of Kolakoski sequence A000002.

Terms

a(0) =1a(1) =3a(2) =7a(3) =14a(4) =26a(5) =48a(6) =91a(7) =178a(8) =357a(9) =728a(10) =1497a(11) =3083a(12) =6331a(13) =12937a(14) =26292a(15) =53144a(16) =106846a(17) =213676a(18) =425126a(19) =841854a(20) =1660587a(21) =3266550a(22) =6416933a(23) =12607706a(24) =24811601a(25) =48969428a(26) =97010347a(27) =192968489a(28) =385347506a(29) =772039743