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A068508 a(n) = round((a(n-1) + a(n-2))/a(n-3)) starting with a(1)=a(2)=a(3)=1. 3
1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 4, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
While this sequence has period 8, the unrounded version b(n) = (b(n-1) + b(n-2))/b(n-3) seems to have a quasi-period of about 8.7 for this particular starting point.
The unrounded version b(n) = A185332(n) / A185341(n) as given in A205303 has 8.694171... quasi-period. - Michael Somos, Oct 22 2018
LINKS
FORMULA
a(n) = a(n-8).
EXAMPLE
a(7) = round((a(6) + a(5))/a(4)) = round((5+3)/2) = 4.
CROSSREFS
Sequence in context: A281941 A284278 A330080 * A137403 A082233 A330806
KEYWORD
nonn,easy
AUTHOR
Henry Bottomley, Mar 25 2002
STATUS
approved

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Last modified July 25 12:21 EDT 2024. Contains 374588 sequences. (Running on oeis4.)