Sum of product of Fibonacci and triangular numbers.

Terms

a(0) =0a(1) =0a(2) =1a(3) =7a(4) =25a(5) =75a(6) =195a(7) =468a(8) =1056a(9) =2280a(10) =4755a(11) =9650a(12) =19154a(13) =37328a(14) =71635a(15) =135685a(16) =254125a(17) =471317a(18) =866669a(19) =1581620a(20) =2866970a(21) =5165630a(22) =9256871a(23) =16507092a(24) =29304660a(25) =51812160a(26) =91264885a(27) =160207603a(28) =280340161a(29) =489117135