Partitioning integers to avoid arithmetic progressions of length 3.

Terms

a(0) =0a(1) =1a(2) =2a(3) =4a(4) =6a(5) =8a(6) =12a(7) =14a(8) =16a(9) =24a(10) =26a(11) =28a(12) =32a(13) =40a(14) =48a(15) =52a(16) =54a(17) =56a(18) =64a(19) =72a(20) =80a(21) =96a(22) =100a(23) =104a(24) =108a(25) =110a(26) =112a(27) =128a(28) =136a(29) =144