Number of integer partitions of n with at least two adjacent parts of quotient 2.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =2a(6) =4a(7) =5a(8) =8a(9) =12a(10) =18a(11) =25a(12) =36a(13) =48a(14) =65a(15) =89a(16) =119a(17) =157a(18) =207a(19) =269a(20) =350a(21) =448a(22) =574a(23) =729a(24) =927a(25) =1166a(26) =1465a(27) =1830a(28) =2282a(29) =2827