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Search: id:A057506
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| A057506 |
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Permutation of natural numbers induced by the automorphism DeepRotateTriangularizationInv acting on the parenthesizations encoded by A014486. Inverse permutation to A057505. |
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40
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| 0, 1, 3, 2, 8, 6, 7, 5, 4, 22, 19, 20, 15, 14, 21, 16, 18, 13, 11, 17, 12, 10, 9, 64, 60, 61, 52, 51, 62, 53, 55, 41, 39, 54, 40, 38, 37, 63, 56, 57, 43, 42, 59, 47, 50, 36, 33, 48, 34, 29, 28, 58, 44, 49, 35, 30, 46, 32, 27, 25, 45, 31, 26, 24, 23, 196, 191, 192, 178, 177
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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A. Karttunen, Gatomorphisms (Includes the complete Scheme source for computing this sequence)
Index entries for sequences that are permutations of the natural numbers
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MAPLE
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map(CatalanRankGlobal, map(DonagheysMR, A014486));
DonagheysMR := n -> pars2binexp(deepreverse(DonagheysMP(deepreverse(binexp2pars(n)))));
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PROGRAM
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(Scheme function implementing this automorphism on list-structures:)
(define (DeepRotateTriangularizationInv bt) (let loop ((lt bt) (nt (list))) (cond ((not (pair? lt)) nt) (else (loop (cdr lt) (cons nt (DeepRotateTriangularizationInv (car lt))))))))
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CROSSREFS
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Cf. A057502 (for deepreverse), A057501 (for other procedures), A057503, A057507 (cycle counts).
Inverse permutation: A057505, and also its car/cdr-flipped conjugate, i.e. A0057506(n) = A057163(A057505(A057163(n))). Composition of A057164 & A057163, i.e. A057506(n) = A057163(A057164(n)).
The 2nd, 3rd, 4th, 5th and 6th "powers": A071662, A071664, A071666, A071668, A071670.
Row 12 of table A122287. See also A080069, A080070.
Sequence in context: A130361 A122338 A071667 this_sequence A086427 A125986 A131155
Adjacent sequences: A057503 A057504 A057505 this_sequence A057507 A057508 A057509
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen Sep 03 2000
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