Number of partitions of n avoiding equidistant 3-term arithmetic progressions.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =5a(6) =6a(7) =8a(8) =13a(9) =12a(10) =19a(11) =23a(12) =29a(13) =35a(14) =45a(15) =52a(16) =68a(17) =80a(18) =98a(19) =111a(20) =141a(21) =163a(22) =198a(23) =230a(24) =283a(25) =320a(26) =376a(27) =443a(28) =517a(29) =585