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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 Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 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 * A181336 A238731 A124037 Adjacent sequences:  A085056 A085057 A085058 * A085060 A085061 A085062 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 October 17 16:18 EDT 2018. Contains 316285 sequences. (Running on oeis4.)