An "eta-sequence": [ (n+1)*tau + 1/2 ] - [ n*tau + 1/2 ], tau = (1 + sqrt(5))/2.

Terms

a(0) =2a(1) =1a(2) =2a(3) =1a(4) =2a(5) =2a(6) =1a(7) =2a(8) =2a(9) =1a(10) =2a(11) =1a(12) =2a(13) =2a(14) =1a(15) =2a(16) =2a(17) =1a(18) =2a(19) =1a(20) =2a(21) =2a(22) =1a(23) =2a(24) =1a(25) =2a(26) =2a(27) =1a(28) =2a(29) =2