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A154445 Permutation of nonnegative integers induced by Basilica group generating wreath recursion: a = (b,1), b = s(a,1), starting from the active (swapping) state b. 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; refs; listen; history; text; internal format)
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

PROG

(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 * A165199 A268825 A245812

Adjacent sequences:  A154442 A154443 A154444 * A154446 A154447 A154448

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Jan 17 2009

EXTENSIONS

Spelling/notation corrections by Charles R Greathouse IV, Mar 18 2010

STATUS

approved

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Last modified February 20 07:28 EST 2020. Contains 332067 sequences. (Running on oeis4.)