Number of compositions of n such that the largest part is coprime to every other part.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =13a(6) =22a(7) =41a(8) =75a(9) =138a(10) =255a(11) =482a(12) =911a(13) =1735a(14) =3316a(15) =6370a(16) =12306a(17) =23907a(18) =46666a(19) =91500a(20) =180119a(21) =355820a(22) =705061a(23) =1400722a(24) =2788718a(25) =5561720a(26) =11107305a(27) =22205839a(28) =44429088a(29) =88942741