id:A073199 - OEIS Search Results

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Permutation of natural numbers induced by the gatomorphism gmA073199 acting on the parenthesizations as ordered by A014486.

+0
7

0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 16, 12, 17, 20, 10, 18, 11, 14, 15, 13, 19, 21, 22, 23, 44, 31, 42, 53, 30, 43, 26, 45, 49, 34, 54, 57, 61, 24, 47, 32, 46, 55, 25, 48, 28, 37, 38, 29, 39, 40, 41, 27, 50, 33, 51, 52, 35, 56, 58, 59, 36, 60, 62, 63, 64, 65, 126, 87, 128, 156, 68 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Is there equivalent gatomorphism in A073200?`
	LINKS	`A. Karttunen, Gatomorphisms (with the complete Scheme source)` `Index entries for sequences that are permutations of the natural numbers`
	PROGRAM	`(Scheme function implementing this automorphism on list-structures:)` `(define (gmA073199 s) (cond ((pair? s) (gmA073199 (cdr s)) (gmA072796! s) (gmA073199 (cdr s)) (gmA072797! s))) s)`
	CROSSREFS	`Inverse permutation: A073198. The car/cdr-flipped conjugate of A073210, i.e. A073199(n) = A057163(A073210(A057163(n))). Cf. also A073194-A073197.` `The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.` `Adjacent sequences: A073196 A073197 A073198 this_sequence A073200 A073201 A073202` `Sequence in context: A085165 A073205 A073195 this_sequence A125988 A085160 A086429`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Jun 25 2002`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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