a(0)=1; thereafter a(n)=a(n-1)+a([n/Phi]), where Phi=(1+sqrt(5))/2, the golden ratio.

Terms

a(0) =1a(1) =2a(2) =4a(3) =6a(4) =10a(5) =16a(6) =22a(7) =32a(8) =42a(9) =58a(10) =80a(11) =102a(12) =134a(13) =176a(14) =218a(15) =276a(16) =334a(17) =414a(18) =516a(19) =618a(20) =752a(21) =886a(22) =1062a(23) =1280a(24) =1498a(25) =1774a(26) =2108a(27) =2442a(28) =2856a(29) =3270