id:A071996 - OEIS Search Results

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A071996

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

+0
4

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; listen)

	OFFSET	`1,6`
	COMMENT	`"Rauzy's sequence" with initial values 0, 1.` `David Moews showed that a(n)/n converges to about 0.31244. - Jim Nastos (nastos(AT)gmail.com), Jan 08 2003` `Difference of consecutive terms is always 0 or 1`
	LINKS	`David Moews, Asymptotic behavior of Rauzy's sequence` `J. O. 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: A162988 A143824 A034463 this_sequence A072747 A124755 A033810` `Adjacent sequences: A071993 A071994 A071995 this_sequence A071997 A071998 A071999`
	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`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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