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A166043 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 A163336. 5
0, 3, 4, 7, 2, 1, 14, 13, 8, 9, 54, 55, 56, 57, 6, 5, 58, 59, 60, 63, 64, 67, 62, 61, 50, 49, 68, 69, 48, 51, 46, 47, 122, 123, 44, 45, 34, 35, 28, 31, 32, 33, 52, 53, 10, 11, 12, 15, 16, 17, 30, 29, 18, 19, 20, 23, 24, 25, 22, 21, 234, 233, 230, 229, 218, 217, 38, 37, 26 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Fixed points are quite rare: A165467.

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 A163336:

   0  5  6 47 48 53 54 59 60

   1  4  7 46 49 52 55 58 61

   2  3  8 45 50 51 56 57 62

  15 14  9 44 39 38 69 68 63

  16 13 10 43 40 37 70 67 64

  17 12 11 42 41 36 71 66 65

  18 23 24 29 30 35 72 77 78

  19 22 25 28 31 34 73 76 79

  20 21 26 27 32 33 74 75 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

3 is in position (2,1) in A163336, while A163357(2,1) = 7. Thus a(3) = 7.

CROSSREFS

Inverse: A166044. a(n) = A163357(A163337(n)) = A163359(A163335(n)). Cf. also A166041.

Sequence in context: A130893 A072079 A116073 * A294896 A021292 A230159

Adjacent sequences:  A166040 A166041 A166042 * A166044 A166045 A166046

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 06 2009

STATUS

approved

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Last modified April 18 20:41 EDT 2021. Contains 343089 sequences. (Running on oeis4.)