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Pisot sequence L(4,14).
2

%I #38 May 23 2019 18:45:58

%S 4,14,49,172,604,2122,7456,26198,92052,323444,1136489,3993295,

%T 14031289,49301911,173232725,608689936,2138761243,7514991434,

%U 26405516950,92781386582,326007088306,1145495077635,4024940008834,14142480741305,49692606865991,174605518105877

%N Pisot sequence L(4,14).

%C There is no simple g.f. - _Ilya Gutkovskiy_, May 23 2019

%H Ilya Gutkovskiy, <a href="/A277084/a277084_1.pdf">Pisot sequences L(x,y)</a>

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

%F a(n) = ceiling(a(n-1)^2/a(n-2)), a(0) = 4, a(1) = 14.

%t RecurrenceTable[{a[0] == 4, a[1] == 14, a[n] == Ceiling[a[n - 1]^2/a[n - 2]]}, a, {n, 25}]

%Y Cf. A008776 for definitions of Pisot sequences.

%Y Cf. A010904 (Pisot sequence E(4,14)), A251221 (seems to be Pisot sequence P(4,14)).

%Y Cf. A018910, A020706, A004119, A020707, A048582, A020734.

%K nonn,easy

%O 0,1

%A _Ilya Gutkovskiy_, Sep 29 2016