A166044 - OEIS

This site is supported by donations to The OEIS Foundation.

A166044

Permutation of nonnegative 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, 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; refs; listen; history; internal format)

	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 * A190287 A087707 A198352` `Adjacent sequences: A166041 A166042 A166043 * A166045 A166046 A166047`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Oct 06 2009`

Content is available under The OEIS End-User License Agreement .

Last modified February 14 03:37 EST 2012. Contains 205570 sequences.