Number of protruded partitions of n with largest part at most 5.

Terms

a(0) =1a(1) =3a(2) =6a(3) =13a(4) =25a(5) =49a(6) =91a(7) =170a(8) =309a(9) =558a(10) =992a(11) =1752a(12) =3062a(13) =5317a(14) =9166a(15) =15712a(16) =26784a(17) =45447a(18) =76775a(19) =129203a(20) =216662a(21) =362177a(22) =603671a(23) =1003566a(24) =1664389a(25) =2754382a(26) =4549207a(27) =7500096a(28) =12344840a(29) =20288723