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A154443
Permutation of nonnegative integers induced by Basilica group generating wreath recursion: a = (b,1), b = s(a,1), starting from the inactive (fixing) state a.
6
0, 1, 2, 3, 5, 4, 6, 7, 10, 11, 8, 9, 12, 13, 14, 15, 21, 20, 22, 23, 16, 17, 18, 19, 24, 25, 26, 27, 28, 29, 30, 31, 42, 43, 40, 41, 44, 45, 46, 47, 32, 33, 34, 35, 36, 37, 38, 39, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 85, 84, 86, 87, 80, 81, 82, 83
OFFSET
0,3
PROG
(MIT Scheme:) (define (A154443 n) (if (< n 2) n (let loop ((maskbit (A072376 n)) (p 0) (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: A154444. a(n) = A154441(A153141(n)) = A054429(A154439(A054429(n))). Cf. A072376, A153141-A153142, A154435-A154436, A154439-A154448. Corresponds to A154453 in the group of Catalan bijections.
Sequence in context: A344682 A344962 A154444 * A180200 A121216 A132196
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Jan 17 2009
EXTENSIONS
Spelling/notation corrections by Charles R Greathouse IV, Mar 18 2010
STATUS
approved