A026255 - OEIS

A026255

Beginning with the natural numbers, swap [ k*sqrt(3) ] and [ (k/2)*(3 + sqrt(3)) ], for all k >= 1.

2, 1, 4, 3, 7, 9, 5, 11, 6, 14, 8, 16, 18, 10, 21, 12, 23, 13, 26, 28, 15, 30, 17, 33, 35, 19, 37, 20, 40, 22, 42, 44, 24, 47, 25, 49, 27, 52, 54, 29, 56, 31, 59, 32, 61, 63, 34, 66, 36, 68, 70, 38, 73, 39, 75, 41, 78, 80, 43, 82, 45, 85, 46

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Self-inverse integer permutation induced by Beatty sequences for sqrt(3) and (3+sqrt(3))/2. - Reinhard Zumkeller, Jun 11 2005

LINKS

Table of n, a(n) for n=1..63.

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

FORMULA

a(A022838(n)) = A054406(n) and a(A054406(n)) = A022838(n). - Reinhard Zumkeller, Jun 11 2005

CROSSREFS

Cf. A026250, A026262.

Sequence in context: A101708 A339559 A248880 * A109250 A138236 A058354

Adjacent sequences: A026252 A026253 A026254 * A026256 A026257 A026258

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved