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Search: id:A154457
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| A154457 |
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Signature-permutation of a Catalan bijection induced by wreath recursion a=s(b,c), b=s(c,a), c=(c,c), starting from state b. |
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3
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| 0, 1, 3, 2, 8, 7, 6, 4, 5, 21, 22, 20, 18, 17, 19, 16, 14, 9, 10, 15, 11, 12, 13, 58, 59, 62, 63, 64, 57, 61, 55, 50, 49, 54, 48, 45, 46, 56, 60, 53, 47, 44, 51, 42, 37, 23, 24, 38, 25, 26, 27, 52, 43, 39, 28, 29, 40, 30, 31, 32, 41, 33, 34, 35, 36, 170, 171, 174, 175, 176
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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This Catalan bijection is induced by the second generator of group 2861 mentioned on page 144 of "Classification of groups generated by 3-state automata over a 2-letter alphabet" paper. Specifically, *A154457 = psi(A154447), where the isomorphism psi is given in A153141 (see further comments there).
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LINKS
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A. Karttunen, Table of n, a(n) for n = 0..2055
Bondarenko, Grigorchuk, Kravchenko, Muntyan, Nekrashevych, Savchuk, Sunic, Classification of groups generated by 3-state automata over a 2-letter alphabet, p. 144.
Index entries for signature-permutations of Catalan automorphisms
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PROGRAM
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(Scheme function, destructive implementation of this automorphism acting on S-expressions:) (define (*A154457! s) (cond ((pair? s) (*A069770! s) (*A154458! (car s)))) s)
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CROSSREFS
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Inverse: A154458. a(n) = A057163(A154458(A057163(n))).
Sequence in context: A089859 A130958 A130397 this_sequence A073292 A073297 A127377
Adjacent sequences: A154454 A154455 A154456 this_sequence A154458 A154459 A154460
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 17 2009
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