A126009 Self-inverse permutation of integers induced when A106485 is restricted to A126011.

0, 2, 1, 3, 9, 10, 8, 12, 6, 4, 5, 11, 7, 17, 18, 19, 20, 13, 14, 15, 16, 21

Offset: 0

Author

Antti Karttunen, Jan 02 2007

Keywords

• nonn

Comments

The Scheme-program given cannot in practice compute this further than n=21, as A106485(A126011(22))=36893488147419103232. However, the further terms could be deduced by other means. This sequence is a permutation of the nonnegative integers because combinatorial games form a group under (game) addition and each game has a well-defined, unique negative.

Links

• A. Karttunen, Scheme-program for computing this sequence.
• Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A126013(A106485(A126011(n))).

Extensions

Typos corrected by Franklin T. Adams-Watters, Apr 06 2009