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A166044 Permutation of non-negative integers: a(n) tells which integer is in the same position in the square array A163336 as where n is located in the array A163357. +0
4
0, 5, 4, 1, 2, 15, 14, 3, 8, 9, 44, 45, 46, 7, 6, 47, 48, 49, 52, 53, 54, 59, 58, 55, 56, 57, 68, 69, 38, 51, 50, 39, 40, 41, 36, 37, 70, 67, 66, 71, 72, 77, 76, 73, 34, 35, 30, 31, 28, 25, 24, 29, 42, 43, 10, 11, 12, 13, 16, 17, 18, 23, 22, 19, 20, 141, 140, 21, 26, 27, 134 (list; graph; listen)
OFFSET

0,2

LINKS

A. Karttunen, Table of n, a(n) for n = 0..16383

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

The top left 8x8 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

The top left 9x9 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

12 is in position (1,3) in A163357, while A163336(1,3) = 46. Thus a(12) = 46.

CROSSREFS

Inverse: A166043. a(n) = A163336(A163358(n)) = A163334(A163360(n)). Fixed points: A165467. Cf. also A166042.

Sequence in context: A154739 A136564 A136042 this_sequence A087707 A113011 A130815

Adjacent sequences: A166041 A166042 A166043 this_sequence A166045 A166046 A166047

KEYWORD

nonn

AUTHOR

Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Oct 06 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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