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A166041 Permutation of nonnegative integers: a(n) tells which integer is in the same position in the square array A163357 as where n is located in the array A163334. 5
0, 1, 14, 13, 2, 3, 4, 7, 8, 11, 30, 29, 18, 17, 12, 15, 16, 19, 20, 21, 234, 233, 22, 23, 24, 25, 230, 229, 26, 27, 36, 37, 218, 217, 38, 39, 34, 33, 52, 53, 32, 35, 28, 31, 10, 9, 6, 5, 58, 57, 54, 55, 56, 59, 60, 61, 50, 49, 62, 63, 64, 67, 68, 69, 122, 123, 44, 47, 48 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Fixed points are quite rare: A165465.

LINKS

A. Karttunen, Table of n, a(n) for n = 0..65535

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

The top left 9 X 9 corner of A163334:

   0  1  2 15 16 17 18 19 20

   5  4  3 14 13 12 23 22 21

   6  7  8  9 10 11 24 25 26

  47 46 45 44 43 42 29 28 27

  48 49 50 39 40 41 30 31 32

  53 52 51 38 37 36 35 34 33

  54 55 56 69 70 71 72 73 74

  59 58 57 68 67 66 77 76 75

  60 61 62 63 64 65 78 79 80

The top left 8 X 8 corner of A163357:

   0  1 14 15 16 19 20 21

   3  2 13 12 17 18 23 22

   4  7  8 11 30 29 24 25

   5  6  9 10 31 28 27 26

  58 57 54 53 32 35 36 37

  59 56 55 52 33 34 39 38

  60 61 50 51 46 45 40 41

  63 62 49 48 47 44 43 42

9 is in position (2,3) in A163334, while A163357(2,3) = 11. Thus a(9) = 11.

CROSSREFS

Inverse: A166042. a(n) = A163357(A163335(n)) = A163359(A163337(n)). Cf. also A166043.

Sequence in context: A004503 A140810 A340720 * A335170 A115019 A022970

Adjacent sequences:  A166038 A166039 A166040 * A166042 A166043 A166044

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 06 2009

STATUS

approved

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Last modified July 2 21:48 EDT 2022. Contains 355029 sequences. (Running on oeis4.)