A129343 a(2n) = a(n), a(2n+1) = 4n+1.

0, 1, 1, 5, 1, 9, 5, 13, 1, 17, 9, 21, 5, 25, 13, 29, 1, 33, 17, 37, 9, 41, 21, 45, 5, 49, 25, 53, 13, 57, 29, 61, 1, 65, 33, 69, 17, 73, 37, 77, 9, 81, 41, 85, 21, 89, 45, 93, 5, 97, 49, 101, 25, 105, 53, 109, 13, 113, 57, 117, 29, 121, 61, 125, 1, 129, 65, 133, 33, 137