id:A126007 - OEIS Search Results

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Involution of nonnegative integers: Keep the least significant quaternary digit q0 of n fixed, but swap the positions of digits q1 <-> q2, q3 <-> q4, ..., etc. in the base-4 expansion of n (where n = ... + q4*256 + q3*64 + q2*16 + q1*4 + q0)

+0
3

0, 1, 2, 3, 16, 17, 18, 19, 32, 33, 34, 35, 48, 49, 50, 51, 4, 5, 6, 7, 20, 21, 22, 23, 36, 37, 38, 39, 52, 53, 54, 55, 8, 9, 10, 11, 24, 25, 26, 27, 40, 41, 42, 43, 56, 57, 58, 59, 12, 13, 14, 15, 28, 29, 30, 31, 44, 45, 46, 47, 60, 61, 62, 63, 256, 257, 258, 259, 272 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`a(n) = (n mod 4) + 4*A126006([n/4]), where brackets stand for the floor function.`
	PROGRAM	`(MIT Scheme:)` `(define (A126007 n) (+ (modulo n 4) (* 4 (A126006 (floor->exact (/ n 4))))))`
	CROSSREFS	`a(n) = A057300(A126008(n)) = A126008(A057300(n)).` `Sequence in context: A074270 A007120 A092973 this_sequence A004832 A076801 A032807` `Adjacent sequences: A126004 A126005 A126006 this_sequence A126008 A126009 A126010`
	KEYWORD	`nonn,base`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 02 2007`

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Last modified December 20 13:54 EST 2009. Contains 171081 sequences.

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