A071996 - OEIS

This site is supported by donations to The OEIS Foundation.

A071996

a(1) = 0, a(2) = 1, a(n) = a(floor(n/3)) + a(n - floor(n/3)).

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 15, 16, 16, 17, 17, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 21, 22, 23, 24, 24, 24, 25, 26, 26, 27 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,6`
	COMMENTS	`"Rauzy's sequence" with initial values 0, 1.` `David Moews showed that a(n)/n converges to about 0.31244. - Jim Nastos, Jan 08 2003` `Difference of consecutive terms is always 0 or 1`
	LINKS	`Table of n, a(n) for n=1..80.` `David Moews, Asymptotic behavior of Rauzy's sequence` `__Jeffrey Shallit__, Ten Problems I Can't Solve (1.1MB ps)`
	MATHEMATICA	`a[1]=0; a[2]=1; a[n_] := a[n]=a[Floor[n/3]]+a[n-Floor[n/3]]; Table[a[n], {n, 1, 75}]`
	CROSSREFS	`Cf. A071991, A071995.` `Sequence in context: A143824 A182009 A034463 * A072747 A194295 A194287` `Adjacent sequences: A071993 A071994 A071995 * A071997 A071998 A071999`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jim Nastos, Jun 17 2002`
	EXTENSIONS	`Edited by Robert G. Wilson v, Jun 23 2002`
	STATUS	`approved`

Content is available under The OEIS End-User License Agreement .

Last modified May 19 20:30 EDT 2013. Contains 225436 sequences.