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A010907
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Pisot sequence E(4,19), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].
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3
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4, 19, 90, 426, 2016, 9541, 45154, 213697, 1011348, 4786332, 22651920, 107203069, 507352048, 2401107571, 11363544486, 53779407822, 254517831936, 1204537747753, 5700626846950, 26978935702753
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OFFSET
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0,1
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REFERENCES
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D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.
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..19.
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FORMULA
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Empirical G.f.: -(x^3+2*x^2+3*x+4)/(x^4+2*x^3+3*x^2+4*x-1). [Colin Barker, Nov 29 2012]
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MATHEMATICA
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PSE[a_, b_, n_]:=Join[{x=a, y=b}, Table[z=Floor[y^2/x+1/2]; x=y; y=z, {n}]]; A010907=PSE[4, 19, 20](* Zak Seidov, Mar 24 2011 *)
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CROSSREFS
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Cf. A077922.
Sequence in context: A084155 A015530 A181880 * A087449 A004253 A218988
Adjacent sequences: A010904 A010905 A010906 * A010908 A010909 A010910
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe
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STATUS
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approved
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