id:A154445 - OEIS Search Results

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Permutation of non-negative integers induced by Basilica group generating wreath recursion: a = (b,1), b = s(a,1), starting from the active (swapping) state b.

+0
6

0, 1, 3, 2, 6, 7, 4, 5, 13, 12, 14, 15, 8, 9, 10, 11, 26, 27, 24, 25, 28, 29, 30, 31, 16, 17, 18, 19, 20, 21, 22, 23, 53, 52, 54, 55, 48, 49, 50, 51, 56, 57, 58, 59, 60, 61, 62, 63, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 106, 107, 104, 105, 108, 109 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 0..2047` `Index entries for sequences that are permutations of the natural numbers`
	PROGRAM	`(MIT Scheme:) (define (A154445 n) (if (< n 2) n (let loop ((maskbit (A072376 n)) (p 1) (z n)) (cond ((zero? maskbit) z) ((not (zero? (modulo (floor->exact (/ n maskbit)) 2))) (- z (* p maskbit))) (else (loop (floor->exact (/ maskbit 2)) (- 1 p) (+ z (* p maskbit))))))))`
	CROSSREFS	`Inverse: A154446. a(n) = A154439(A153141(n)) = A054429(A154441(A054429(n))). Cf. A072376, A153141-A153142, A154435-A154436, A154439-A154448. Corresponds to A154455 in the group of Catalan bijections.` `Sequence in context: A154441 A154446 A154442 this_sequence A165199 A120231 A083362` `Adjacent sequences: A154442 A154443 A154444 this_sequence A154446 A154447 A154448`
	KEYWORD	`nonn,base`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 17 2009`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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