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A085059
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a(1) = 1, a(n+1) = a(n)-n if a(n) > n else a(n+1) = a(n) + n.
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2
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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; internal format)
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OFFSET
| 1,2
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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.
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MATHEMATICA
| RecurrenceTable[{a[1]==1, a[n+1]==If[a[n]>n, a[n]-n , a[n]+n]}, a[n], {n, 80}] (* From Harvey P. Dale, May 11 2011 *)
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CROSSREFS
| Cf. A005132.
Equals 1+A008344(n).
Sequence in context: A201283 A080427 A118906 * A181336 A124037 A090285
Adjacent sequences: A085056 A085057 A085058 * A085060 A085061 A085062
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KEYWORD
| nonn,easy
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AUTHOR
| Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 27 2003
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EXTENSIONS
| More terms from Sam Alexander (amnalexander(AT)yahoo.com), Oct 20 2003
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