Number of protruded partitions of n with largest part at most 2.

Terms

a(0) =1a(1) =3a(2) =5a(3) =10a(4) =17a(5) =31a(6) =53a(7) =92a(8) =156a(9) =265a(10) =445a(11) =746a(12) =1243a(13) =2066a(14) =3421a(15) =5652a(16) =9314a(17) =15320a(18) =25152a(19) =41232a(20) =67497a(21) =110361a(22) =180249a(23) =294115a(24) =479500a(25) =781143a(26) =1271675a(27) =2068987a(28) =3364358a(29) =5468074