id:A075162 - OEIS Search Results

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Position of A014486(n) in A075165, minus one.

+0
5

0, 1, 2, 3, 4, 5, 8, 7, 15, 6, 9, 14, 11, 23, 24, 17, 26, 31, 63, 80, 511, 255, 65535, 10, 13, 20, 19, 39, 34, 29, 44, 47, 95, 134, 767, 383, 98303, 48, 49, 74, 35, 71, 124, 53, 242, 127, 1023, 728, 32767, 4095, 16777215, 624, 161, 19682, 33554431, 262143, 6560 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`See A075166.`
	LINKS	`A. Karttunen, Alternative Catalan Orderings (with the complete Scheme source)` `Index entries for sequences that are permutations of the natural numbers`
	PROGRAM	`(Scheme functions showing the essential idea. For the complete source, follow the "Alternative Catalan Orderings" link:)` `(define (A075162 n) (-1+ (parenthesization->primefactorization (binexp->parenthesization (A014486 n)))))` `(define (parenthesization->primefactorization p) (Nvector->primefactorization! (map parenthesization->primefactorization p)))` `(define (Nvector->primefactorization! el) (let loop ((el (reverse! el)) (i 1) (z 1)) (cond ((null? el) z) ((null? (cdr el)) (* (expt (A008578 i) (car el)) z)) (else (loop (cdr el) (1+ i) (* (expt (A008578 i) (-1+ (car el))) z))))))`
	CROSSREFS	`Inverse of A075161. a(n) = A075164(n+1)-1. Cf. A075157, A075169.` `Sequence in context: A069797 A091893 A074756 this_sequence A056240 A069968 A086931` `Adjacent sequences: A075159 A075160 A075161 this_sequence A075163 A075164 A075165`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Sep 13 2002`

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Last modified September 4 21:24 EDT 2008. Contains 143414 sequences.

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