Number of strict integer partitions of n with at least one neighborless part.

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =3a(7) =4a(8) =6a(9) =6a(10) =9a(11) =11a(12) =13a(13) =17a(14) =20a(15) =24a(16) =30a(17) =36a(18) =41a(19) =52a(20) =60a(21) =71a(22) =84a(23) =100a(24) =114a(25) =137a(26) =158a(27) =183a(28) =214a(29) =248