Number of compositions of n with some part repeated.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =5a(5) =11a(6) =21a(7) =51a(8) =109a(9) =229a(10) =455a(11) =959a(12) =1947a(13) =3963a(14) =7999a(15) =16033a(16) =32333a(17) =64919a(18) =130221a(19) =260967a(20) =522733a(21) =1045825a(22) =2093855a(23) =4189547a(24) =8382315a(25) =16768455a(26) =33543127a(27) =67093261a(28) =134193413a(29) =268404995