A026250 Beginning with the natural numbers, swap [ k*sqrt(2) ] and [ k*(2 + sqrt(2)) ], for all k >= 1.

3, 6, 1, 10, 13, 2, 17, 20, 23, 4, 27, 30, 5, 34, 37, 40, 7, 44, 47, 8, 51, 54, 9, 58, 61, 64, 11, 68, 71, 12, 75, 78, 81, 14, 85, 88, 15, 92, 95, 16, 99, 102, 105, 18, 109, 112, 19, 116, 119, 122, 21, 126, 129, 22, 133, 136, 139, 24, 143, 146

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Comments

Self-inverse integer permutation induced by Beatty sequences for sqrt(2) and 2+sqrt(2). - Reinhard Zumkeller, Jun 11 2005

Links

• Eric Weisstein's World of Mathematics, Beatty Sequence
• Index entries for sequences that are permutations of the natural numbers
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A026255, A026262.

Formula

a(A001951(n)) = A001952(n) and a(A001952(n)) = A001951(n). - Reinhard Zumkeller, Jun 11 2005