The sum of the sizes of the largest fixed points over all compositions of n.

Terms

a(0) =1a(1) =1a(2) =3a(3) =7a(4) =16a(5) =34a(6) =73a(7) =155a(8) =324a(9) =674a(10) =1393a(11) =2861a(12) =5852a(13) =11929a(14) =24239a(15) =49127a(16) =99360a(17) =200598a(18) =404377a(19) =814135a(20) =1637363a(21) =3290067a(22) =6605980a(23) =13255451a(24) =26583994a(25) =53290694a(26) =106787166a(27) =213919062a(28) =428415074a(29) =857794856