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A018921
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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(4,8).
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3
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4, 8, 15, 28, 52, 96, 177, 326, 600, 1104, 2031, 3736, 6872, 12640, 23249, 42762, 78652, 144664, 266079, 489396, 900140, 1655616, 3045153, 5600910, 10301680
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OFFSET
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0,1
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COMMENTS
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a(n) = A008937(n+2) = A027084(n+3)+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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Table of n, a(n) for n=0..24.
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FORMULA
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Probably satisfies a(n) = 2*a(n-1) - a(n-4).
Empirical G.f.: (4-x^2-2*x^3)/(1-2*x+x^4). [Colin Barker, Feb 08 2012]
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CROSSREFS
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Cf. A008937.
Sequence in context: A024624 A098196 A027961 * A103536 A011970 A111988
Adjacent sequences: A018918 A018919 A018920 * A018922 A018923 A018924
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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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