A110119 Self-inverse integer permutation induced by Beatty sequences for x and (x+1)/(2*sqrt(2)) with x=sqrt(2)+sqrt(3).

3, 6, 1, 9, 12, 2, 15, 18, 4, 22, 25, 5, 28, 31, 7, 34, 37, 8, 40, 44, 47, 10, 50, 53, 11, 56, 59, 13, 62, 66, 14, 69, 72, 16, 75, 78, 17, 81, 84, 19, 88, 91, 94, 20, 97, 100, 21, 103, 106, 23, 110, 113, 24, 116, 119, 26, 122, 125, 27, 128, 132, 29, 135, 138, 141, 30, 144

Offset

1,1

Links

Table of n, a(n) for n=1..67.

Eric Weisstein's World of Mathematics, Beatty Sequence

Index entries for sequences related to Beatty sequences

Index entries for sequences that are permutations of the natural numbers

Formula

a(A110117(n)) = A110118(n) and a(A110118(n)) = A110117(n).

Crossrefs

Cf. A108591, A110117, A110118.

Cf. A135611 (sqrt(2)+sqrt(3)).

Sequence in context: A336245 A108813 A108591 * A322310 A359279 A152202

Adjacent sequences: A110116 A110117 A110118 * A110120 A110121 A110122

Keyword

nonn

Author

Reinhard Zumkeller, Jul 13 2005

Status

approved