id:A071991 - OEIS Search Results

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A071991

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

+0
3

1, 1, 2, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 13, 14, 15, 16, 16, 16, 17, 17, 18, 19, 20, 21, 22, 23, 23, 23, 23, 24, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 34, 34, 34, 35, 35, 36, 36, 37, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 49, 50, 50, 50, 50 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`"Rauzy's sequence" with initial values 1, 1.` `David Moews showed that a(n)/n converges to about 0.68756. - Jim Nastos (nastos(AT)gmail.com), Jan 08 2003`
	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]=a[2]=1; a[n_] := a[n]=a[Floor[n/3]]+a[n-Floor[n/3]]; Table[a[n], {n, 0, 75}]`
	CROSSREFS	`a(n) = A071995(n) + A071996(n).` `Sequence in context: A071521 A039733 A005374 this_sequence A096336 A081609 A046700` `Adjacent sequences: A071988 A071989 A071990 this_sequence A071992 A071993 A071994`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jim Nastos (nastos(AT)alumni.uwaterloo.ca), Jun 17 2002`
	EXTENSIONS	`Edited by N. J. A. Sloane (njas(AT)research.att.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 23 2002`

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.

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