Number of partitions of n having no odd singletons (n>=0).

Terms

a(0) =1a(1) =0a(2) =2a(3) =1a(4) =4a(5) =2a(6) =8a(7) =4a(8) =14a(9) =9a(10) =24a(11) =16a(12) =41a(13) =28a(14) =66a(15) =49a(16) =104a(17) =80a(18) =163a(19) =128a(20) =248a(21) =203a(22) =372a(23) =312a(24) =554a(25) =472a(26) =810a(27) =708a(28) =1172a(29) =1042