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Search: id:A018922
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| A018922 |
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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(8,16). |
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+0
2
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| 8, 16, 31, 60, 116, 224, 432, 833, 1606, 3096, 5968, 11504, 22175, 42744, 82392, 158816, 306128, 590081, 1137418, 2192444, 4226072, 8146016, 15701951, 30266484
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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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FORMULA
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a(n) = 2*a(n-1) - a(n-5).
O.g.f: -(-8+x^2+2*x^3+4*x^4)/((x-1)*(x^4+x^3+x^2+x-1)( = (1/3)/(x-1)+(1/3)*(-13*x^3-20*x^2-24*x-25)/(x^4+x^3+x^2+x-1) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 02 2007
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CROSSREFS
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Adjacent sequences: A018919 A018920 A018921 this_sequence A018923 A018924 A018925
Sequence in context: A039288 A045237 A047925 this_sequence A020948 A106841 A139598
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KEYWORD
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nonn
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AUTHOR
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R. K. Guy (rkg(AT)cpsc.ucalgary.ca)
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