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A278681 Pisot sequence T(3,16). 0

%I

%S 3,16,85,451,2392,12686,67280,356818,1892376,10036172,53226604,

%T 282286052,1497097488,7939821584,42108658448,223322287224,

%U 1184384537744,6281355751296,33313023614352,176674843181968,936990907061504,4969309405367264,26354616443092800,139771093164846816,741272730213321216,3931322622695991104

%N Pisot sequence T(3,16).

%H <a href="/index/Ph#Pisot">Index entries for Pisot sequences</a>

%F a(n) = floor(a(n-1)^2/a(n-2)), a(0) = 3, a(1) = 16.

%F Conjectures: (Start)

%F G.f.: (3 - 2*x + x^2 - x^3)/(1 - 6*x + 4*x^2 - 2*x^3 + 2*x^4).

%F a(n) = 6*a(n-1) - 4*a(n-2) + 2*a(n-3) - 2*a(n-4). (End)

%t RecurrenceTable[{a[0] == 3, a[1] == 16, a[n] == Floor[a[n - 1]^2/a[n - 2]]}, a, {n, 25}]

%Y Cf. A008776 for definitions of Pisot sequences.

%Y Cf. A010920, A018920.

%K nonn,easy

%O 0,1

%A _Ilya Gutkovskiy_, Nov 26 2016

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Last modified February 23 00:03 EST 2018. Contains 299472 sequences. (Running on oeis4.)