Augmentation of the Fibonacci triangle A193588. See Comments.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =4a(5) =7a(6) =1a(7) =6a(8) =18a(9) =31a(10) =1a(11) =8a(12) =33a(13) =90a(14) =154a(15) =1a(16) =10a(17) =52a(18) =185a(19) =481a(20) =820a(21) =1a(22) =12a(23) =75a(24) =324a(25) =1065a(26) =2690a(27) =4575a(28) =1a(29) =14