id:A123696 - OEIS Search Results

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Signature permutation of a nonrecursive Catalan automorphism: row 1653063 of table A089840.

+0
4

0, 1, 3, 2, 8, 7, 4, 5, 6, 21, 22, 17, 18, 20, 9, 10, 11, 12, 13, 14, 15, 16, 19, 58, 59, 62, 63, 64, 45, 46, 48, 49, 50, 54, 55, 57, 61, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 47, 51, 52, 53, 56, 60, 170, 171, 174, 175, 176 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This automorphism is illustrated below, where letters A, B and C refer to arbitrary subtrees located on those nodes and () stands for an implied terminal node.` `............................B...C.......C...D..............................` `.............................\./.........\./...............................` `.A...B.............B...C......x...D....B..x............()...C......C..()...` `..\./...............\./........\./......\./.............\./.........\./....` `...x...C..-->....A...x......()..x...-->..x..().......()..x....-->....x..().` `....\./...........\./........\./..........\./.........\./.............\./..` `.....x.............x..........x............x...........x...............x...` `See the comments at A123695.`
	LINKS	`A. Karttunen, Prolog-program which illustrates the construction of this and other similar nonrecursive Catalan automorphisms.` `Index entries for signature-permutations of Catalan automorphisms`
	PROGRAM	`(Scheme function, destructive implementation of this automorphism acting on S-expressions:) (define (A123696! s) (cond ((null? s) s) ((pair? (car s)) (A074680! s)) ((pair? (cdr s)) (A074680! (cdr s)) (A069770! s))) s)`
	CROSSREFS	`Inverse: A123695. Row 1653063 of A089840. Variant of A074680.` `Sequence in context: A132887 A092174 A083514 this_sequence A123500 A074689 A122331` `Adjacent sequences: A123693 A123694 A123695 this_sequence A123697 A123698 A123699`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Oct 11 2006`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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