Number of integer partitions of n with no adjacent parts of quotient 2.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =5a(6) =7a(7) =10a(8) =14a(9) =18a(10) =24a(11) =31a(12) =41a(13) =53a(14) =70a(15) =87a(16) =112a(17) =140a(18) =178a(19) =221a(20) =277a(21) =344a(22) =428a(23) =526a(24) =648a(25) =792a(26) =971a(27) =1180a(28) =1436a(29) =1738