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A278681 Pisot sequence T(3,16). 0
3, 16, 85, 451, 2392, 12686, 67280, 356818, 1892376, 10036172, 53226604, 282286052, 1497097488, 7939821584, 42108658448, 223322287224, 1184384537744, 6281355751296, 33313023614352, 176674843181968, 936990907061504, 4969309405367264, 26354616443092800, 139771093164846816, 741272730213321216, 3931322622695991104 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..25.

Index entries for Pisot sequences

FORMULA

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

Conjectures: (Start)

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

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

MATHEMATICA

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

CROSSREFS

Cf. A008776 for definitions of Pisot sequences.

Cf. A010920, A018920.

Sequence in context: A076279 A056369 A056360 * A224869 A163604 A151329

Adjacent sequences:  A278678 A278679 A278680 * A278682 A278683 A278684

KEYWORD

nonn,easy

AUTHOR

Ilya Gutkovskiy, Nov 26 2016

STATUS

approved

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Last modified October 17 03:15 EDT 2018. Contains 316275 sequences. (Running on oeis4.)