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A079051
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Recaman variation: a(0) = 0; for n >= 1, a(n) = a(n-1)-f(n) if that number is positive and not already in the sequence, otherwise a(n) = a(n-1)+f(n), where f(n)=floor(sqrt(n)) (A000196).
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7
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0, 1, 2, 3, 5, 7, 9, 11, 13, 10, 13, 16, 19, 22, 25, 28, 24, 20, 24, 28, 32, 36, 40, 44, 48, 43, 38, 33, 38, 43, 48, 53, 58, 63, 68, 73, 67, 61, 55, 49, 55, 61, 67, 73, 79, 85, 91, 97, 103, 96, 89, 82, 75, 82, 89, 96, 103, 110, 117, 124, 131, 138, 145, 152, 144, 136, 128, 120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| N. J. A. Sloane and A. R. Wilks, On sequences of Recaman type, paper in preparation, 2006.
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LINKS
| Nick Hobson, Python program for this sequence
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FORMULA
| Conjecture: for n>100, 1/2 < a(n)/(n*log(n)) < 1.
The conjecture is false. In fact, a(n) = n^(3/2)/6 + O(n). - N. J. A. Sloane (njas(AT)research.att.com), Apr 29 2006
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CROSSREFS
| Cf. A000196, A005132. Numbers missed are in A117247.
Cf. A117248, A117516, A117518.
Sequence in context: A186290 A061979 A050748 * A066935 A042943 A186330
Adjacent sequences: A079048 A079049 A079050 * A079052 A079053 A079054
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 02 2003
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