A026250 - OEIS

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

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

OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..60.

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

CROSSREFS

Cf. A026255, A026262.

Sequence in context: A359279 A152202 A210039 * A210033 A209144 A130724

Adjacent sequences: A026247 A026248 A026249 * A026251 A026252 A026253

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved