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A018917
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Define the sequence T(a_0,a_1) by: a_{n+2} is the greatest integer such that a_{n+2}/a_{n+1} < a_{n+1}/a_n for n >= 0. This is T(3,5).
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2
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3, 5, 8, 12, 17, 24, 33, 45, 61, 82, 110, 147, 196, 261, 347, 461, 612, 812, 1077, 1428, 1893, 2509, 3325, 4406, 5838, 7735, 10248, 13577, 17987, 23829, 31568, 41820, 55401, 73392, 97225, 128797, 170621, 226026, 299422, 396651
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OFFSET
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0,1
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REFERENCES
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D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences,Advances in Number Theory ( Kingston ON,1991) 333-340,Oxford Sci. Publ.,Oxford Univ. Press, New York,1993;.
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LINKS
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_Reinhard Zumkeller_, Table of n, a(n) for n = 0..1000
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FORMULA
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Conjecture: a(n)=a(n-1)+a(n-2)-a(n-4). G.f.: (3+2*x-x^3)/(1-x)/(1-x^2-x^3). [Colin Barker, Feb 16 2012]
Conjecture: a(n) = a(n-1) + A000931(n+8). - Reinhard Zumkeller, Dec 30 2012
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CROSSREFS
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Sequence in context: A023544 A133263 A038088 * A167385 A098202 A164653
Adjacent sequences: A018914 A018915 A018916 * A018918 A018919 A018920
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KEYWORD
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nonn
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AUTHOR
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R. K. Guy
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STATUS
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approved
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