a(n) = Sum{k=1..n} Fibonacci(floor(n/k)).

Terms

a(0) =1a(1) =2a(2) =4a(3) =6a(4) =9a(5) =14a(6) =20a(7) =30a(8) =45a(9) =69a(10) =104a(11) =165a(12) =255a(13) =405a(14) =642a(15) =1029a(16) =1640a(17) =2645a(18) =4243a(19) =6852a(20) =11040a(21) =17840a(22) =28787a(23) =46567a(24) =75227a(25) =121685a(26) =196725a(27) =318269a(28) =514688a(29) =832760