Number of protruded partitions of n with largest part at most 4.

Terms

a(0) =1a(1) =3a(2) =6a(3) =13a(4) =24a(5) =47a(6) =86a(7) =159a(8) =285a(9) =509a(10) =895a(11) =1565a(12) =2708a(13) =4660a(14) =7964a(15) =13543a(16) =22912a(17) =38604a(18) =64785a(19) =108356a(20) =180661a(21) =300384a(22) =498183a(23) =824365a(24) =1361302a(25) =2243799a(26) =3692159a(27) =6066161a(28) =9952786a(29) =16309055