Number of compositions of n such that the number of parts is not divisible by the greatest part.

Terms

a(0) =0a(1) =1a(2) =1a(3) =6a(4) =8a(5) =19a(6) =43a(7) =90a(8) =167a(9) =339a(10) =722a(11) =1503a(12) =2987a(13) =5883a(14) =11820a(15) =24167a(16) =49348a(17) =99707a(18) =199626a(19) =398475a(20) =797457a(21) =1604029a(22) =3237867a(23) =6534327a(24) =13143278a(25) =26336266a(26) =52664325a(27) =105349525a(28) =211135006a(29) =423949168