

A071996


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


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
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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

Gheorghe Coserea, Table of n, a(n) for n = 1..10000
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[nFloor[n/3]]; Table[a[n], {n, 1, 75}]


PROG

(PARI)
n = 33; v = vector(n); v[1] = 'x; v[2] = 'y;
for(i = 3, n, v[i] = v[floor(i/3)] + v[i  floor(i/3)]);
apply(e > polcoeff(e, 1, v[2]), v) \\ Gheorghe Coserea, Aug 22 2015


CROSSREFS

Cf. A071991, A071995.
Sequence in context: A182009 A034463 A259899 * 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



