Triangle read by rows: the Fibonacci triangle times Pascal's triangle (A007318).

Terms

a(0) =1a(1) =2a(2) =1a(3) =5a(4) =4a(5) =1a(6) =12a(7) =14a(8) =6a(9) =1a(10) =31a(11) =46a(12) =27a(13) =8a(14) =1a(15) =85a(16) =150a(17) =108a(18) =44a(19) =10a(20) =1a(21) =248a(22) =493a(23) =410a(24) =206a(25) =65a(26) =12a(27) =1a(28) =762a(29) =1644