A050820 Odd numbers in the sequence generated by a(n)=|a(n-1)+2a(n-2)-n|.

1, 1, 3, 1, 3, 5, 11, 1, 5, 1, 5, 3, 3, 7, 1, 29, 7, 25, 11, 9, 11, 3, 11, 5, 9, 5, 17, 9, 7, 1, 41, 7, 11, 7, 23, 15, 21, 11, 1, 13, 57, 5, 25, 15, 9, 9, 45, 29, 35, 35, 65, 11, 15, 3, 67, 13, 9, 5, 81, 9, 33, 11, 23, 9, 53, 1, 21, 99, 57, 55, 81, 61, 73, 43, 45, 65, 127, 9, 89, 9, 9, 75