id:A072764 - OEIS Search Results

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Tabular N X N -> N bijection induced by Lisp/Scheme function 'cons' combining the two planar binary trees/general trees/parenthesizations encoded by A014486(X) and A014486(Y).

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1, 3, 2, 7, 6, 4, 8, 16, 14, 5, 17, 19, 42, 15, 9, 18, 44, 51, 43, 37, 10, 20, 47, 126, 52, 121, 38, 11, 21, 53, 135, 127, 149, 122, 39, 12, 22, 56, 154, 136, 385, 150, 123, 40, 13, 45, 60, 163, 155, 413, 386, 151, 124, 41, 23, 46, 128, 177, 164, 475, 414, 387, 152 (list; table; graph; listen)

	OFFSET	`1,2`
	LINKS	`Index entries for the sequences induced by list functions of Lisp` `Index entries for sequences that are permutations of the natural numbers` `A. Karttunen, Gatomorphisms (with the complete Scheme source)`
	PROGRAM	`(Scheme functions showing the general idea:)` `(define (A072764bi x y) (A080300 (parenthesization->binexp (cons (binexp->parenthesization (A014486 x)) (binexp->parenthesization (A014486 y))))))` `(define (A072764 n) (cond ((zero? n) n) (else (A072764bi (A025581 (-1+ n)) (A002262 (-1+ n))))))`
	CROSSREFS	`Inverse permutation: A072765. a(n) = A069770(A072766(n)). Also transpose of A072766, i.e. a(n) = A072766(A038722(n)). The upper triangular region: A072773. Projection functions are A072771 ('car') & A072772 ('cdr'). The sizes of the corresponding Catalan structures: A072768. The first row: A057548, the first column: A072795, diagonal: A083938. Cf. also A080300, A025581, A002262.` `Sequence in context: A096899 A099896 A006068 this_sequence A130328 A083569 A071574` `Adjacent sequences: A072761 A072762 A072763 this_sequence A072765 A072766 A072767`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Antti Karttunen (HisFirstname.HisSurname(AT)iki.fi) Jun 12 2002`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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