Number of protruded partitions of n with largest part at most 6.

Terms

a(0) =1a(1) =3a(2) =6a(3) =13a(4) =25a(5) =50a(6) =93a(7) =175a(8) =320a(9) =582a(10) =1041a(11) =1851a(12) =3253a(13) =5682a(14) =9848a(15) =16970a(16) =29070a(17) =49559a(18) =84090a(19) =142107a(20) =239239a(21) =401404a(22) =671386a(23) =1119799a(24) =1862861a(25) =3091708a(26) =5120090a(27) =8462535a(28) =13961695a(29) =22996307