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A085059 a(1) = 1, a(n+1) = a(n)-n if a(n) > n else a(n+1) = a(n) + n. 5
1, 2, 4, 1, 5, 10, 4, 11, 3, 12, 2, 13, 1, 14, 28, 13, 29, 12, 30, 11, 31, 10, 32, 9, 33, 8, 34, 7, 35, 6, 36, 5, 37, 4, 38, 3, 39, 2, 40, 1, 41, 82, 40, 83, 39, 84, 38, 85, 37, 86, 36, 87, 35, 88, 34, 89, 33, 90, 32, 91, 31, 92, 30, 93, 29, 94, 28, 95, 27, 96, 26, 97, 25, 98, 24, 99 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Let (3^k-1)/2 = r then a((3^k-1)/2) = a(r) = 1 and a(r-1) = r. Geometrical interpretation. The sequence is obtained by the following rule: A point moves on the positive number line with the rule that in every step it has to move one unit more than the previous step and with the aim that it is to be as close to 0 as possible but on the positive side.
a(A003462(n)) = 1. - Reinhard Zumkeller, Jan 31 2013
LINKS
MATHEMATICA
RecurrenceTable[{a[1]==1, a[n+1]==If[a[n]>n, a[n]-n , a[n]+n]}, a[n], {n, 80}] (* Harvey P. Dale, May 11 2011 *)
PROG
(Haskell)
a085059 n = a085059_list !! (n-1)
a085059_list = 1 : f 1 1 where
f v w = y : f (v + 1) y where
y = if w > v then w - v else w + v
-- Reinhard Zumkeller, Jan 31 2013
CROSSREFS
Cf. A005132.
Equals 1+A008344(n).
Cf. A046901.
Sequence in context: A283739 A080427 A118906 * A336164 A181336 A238731
KEYWORD
nonn,easy
AUTHOR
Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 27 2003
EXTENSIONS
More terms from Sam Alexander, Oct 20 2003
STATUS
approved

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)