Number of compositions of n in which the greatest part is odd.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =7a(5) =14a(6) =30a(7) =62a(8) =129a(9) =263a(10) =534a(11) =1076a(12) =2160a(13) =4318a(14) =8612a(15) =17145a(16) =34097a(17) =67764a(18) =134638a(19) =267506a(20) =531606a(21) =1056812a(22) =2101854a(23) =4182462a(24) =8327263a(25) =16588973a(26) =33066080a(27) =65945522a(28) =131588128a(29) =262702054