A116626 a(1)=1; a(odd n) = a(n-1) XOR a(n-2), for a(even n) we find the first i > 1 such that neither i nor (i XOR A116626(n-1)) is present in A116626(1..n-1), in which case a(n) = (i XOR A116626(n-1)).

1, 3, 2, 6, 4, 12, 8, 13, 5, 15, 10, 26, 16, 23, 7, 14, 9, 24, 17, 49, 32, 43, 11, 25, 18, 51, 33, 50, 19, 48, 35, 55, 20, 54, 34, 52, 22, 62, 40, 61, 21, 60, 41, 53, 28, 56, 36, 63, 27, 91, 64, 93, 29, 59, 38, 57, 31, 58, 37, 100, 65, 95, 30, 92, 66, 101, 39, 99, 68, 110, 42

Offset: 1

Author

Paul D. Hanna and Antti Karttunen, Feb 21 2006

Keywords

• nonn

Comments

This is a permutation of the natural numbers provided that A116625 is the complement of A116624. XOR is A003987.

Links

• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. a(2n) = a(2n-1) XOR a(2n+1), a(2n+1) = A116624(n+1). Inverse: A116627. Bisections: A116624, A116625. Cf. A116648.