Number of partitions of n without three consecutive parts in arithmetic progression.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =5a(6) =6a(7) =8a(8) =13a(9) =13a(10) =19a(11) =24a(12) =30a(13) =36a(14) =47a(15) =54a(16) =72a(17) =85a(18) =106a(19) =123a(20) =151a(21) =178a(22) =220a(23) =256a(24) =314a(25) =362a(26) =432a(27) =505a(28) =605a(29) =692