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Search: id:A085059
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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. +0
3
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; listen)
OFFSET

1,2

COMMENT

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.

CROSSREFS

Cf. A005132.

Equals 1+A008344(n).

Sequence in context: A059573 A080427 A118906 this_sequence A124037 A090285 A047908

Adjacent sequences: A085056 A085057 A085058 this_sequence A085060 A085061 A085062

KEYWORD

nonn,easy

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 27 2003

EXTENSIONS

More terms from Sam Alexander (amnalexander(AT)yahoo.com), Oct 20 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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