A026262 Beginning with the natural numbers, swap [ k*sqrt(5) ] and [ (k/4)*(5 + sqrt(5)) ], for all k >= 1.

2, 1, 4, 3, 6, 5, 8, 7, 11, 13, 9, 15, 10, 17, 12, 20, 14, 22, 24, 16, 26, 18, 29, 19, 31, 21, 33, 35, 23, 38, 25, 40, 27, 42, 28, 44, 46, 30, 49, 32, 51, 34, 53, 36, 55, 37, 58, 60, 39, 62, 41, 64, 43, 67, 45, 69, 71, 47, 73, 48, 76, 50, 78

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Comments

Self-inverse integer permutation induced by Beatty sequences for sqrt(5) and (5+sqrt(5))/4. - 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. A026250, A026255.

Formula

a(A022839(n))=A108598(n) and a(A108598(n))=A022839(n). - Reinhard Zumkeller, Jun 11 2005