id:A071995 - OEIS Search Results

Search: id:A071995

Displaying 1-1 of 1 results found.

page 1

A071995

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

+0
3

1, 0, 1, 2, 3, 2, 3, 2, 3, 4, 3, 4, 5, 6, 7, 6, 7, 6, 7, 8, 9, 10, 9, 8, 9, 8, 9, 10, 11, 12, 13, 14, 13, 12, 11, 12, 13, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 20, 19, 18, 19, 18, 19, 18, 19, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 29, 30, 29, 28, 27, 26, 27, 28, 27, 26 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`"Rauzy's sequence" with initial values 1, 0.` `David Moews showed that a(n)/n converges to about 0.37512. - Jim Nastos (nastos(AT)gmail.com), Jan 08 2003` `Difference of consecutive terms is always +/- 1.`
	LINKS	`David Moews, Asymptotic behavior of Rauzy's sequence` `J. O. Shallit, Ten Problems I Can't Solve (1.1 MB ps)`
	MATHEMATICA	`a[1]=1; a[2]=0; a[n_] := a[n]=a[Floor[n/3]]+a[n-Floor[n/3]]; Table[a[n], {n, 1, 80}]`
	CROSSREFS	`Cf. A071991, A071996.` `Sequence in context: A076225 A140887 A132423 this_sequence A114108 A073820 A103509` `Adjacent sequences: A071992 A071993 A071994 this_sequence A071996 A071997 A071998`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jim Nastos (nastos(AT)alumni.uwaterloo.ca), Jun 17 2002`
	EXTENSIONS	`Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 23 2002`

page 1

Search completed in 0.002 seconds

Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

AT&T Labs Research