A057508 - OEIS

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A057508

Self-inverse permutation of natural numbers induced by the function 'reverse' (present in programming languages like Lisp, Scheme, Prolog and Haskell) when it acts on symbolless S-expressions encoded by A014486/A063171.

0, 1, 2, 3, 4, 6, 5, 7, 8, 9, 14, 11, 16, 19, 10, 15, 12, 17, 18, 13, 20, 21, 22, 23, 37, 28, 42, 51, 25, 39, 30, 44, 47, 33, 53, 56, 60, 24, 38, 29, 43, 52, 26, 40, 31, 45, 46, 32, 48, 49, 50, 27, 41, 34, 54, 55, 35, 57, 58, 59, 36, 61, 62, 63, 64, 65, 107, 79, 121, 149, 70 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`Index entries for the sequences induced by list functions of Lisp` `Index entries for signature-permutations induced by Catalan automorphisms` `A. Karttunen, Gatomorphisms (Includes the complete Scheme program for computing this sequence)`
	MAPLE	`Similar function for Maple lists can be implemented as: reverse := proc(a) if 0 = nops(a) then (a) else [op(reverse(cdr(a))), a[1]]; fi; end;`
	PROG	`(Scheme function implementing this automorphism on list-structures:) reverse` `(Destructive variant, see A057509 for Rol!) (define (Rev1! s) (cond ((pair? s) (Rev1! (cdr s)) (Rol! s))) s)` `(Another variant, see A057510 for Ror!) (define (Rev2! s) (cond ((pair? s) (Ror! s) (Rev2! (cdr s)))) s)`
	CROSSREFS	`The car/cdr-flipped conjugate of A069769, i.e. A057508(n) = A057163(A069769(A057163(n))). Cf. also A057164, A057509, A057510, A033538.` `Sequence in context: A130945 A073285 A057512 * A057164 A085175 A130111` `Adjacent sequences: A057505 A057506 A057507 * A057509 A057510 A057511`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (HisFirstname.HisSurname(AT)iki.fi) Sep 03 2000`

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Last modified February 17 06:27 EST 2012. Contains 205998 sequences.