Convolution of Fibonacci numbers (A000045) and partition numbers (A000041).

Terms

a(0) =0a(1) =1a(2) =2a(3) =5a(4) =10a(5) =20a(6) =37a(7) =68a(8) =120a(9) =210a(10) =360a(11) =612a(12) =1028a(13) =1717a(14) =2846a(15) =4698a(16) =7720a(17) =12649a(18) =20666a(19) =33700a(20) =54856a(21) =89183a(22) =144831a(23) =235016a(24) =381102a(25) =617693a(26) =1000753a(27) =1620882a(28) =2624645a(29) =4249245