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A278764 Pisot sequence T(5,13). 0
5, 13, 33, 83, 208, 521, 1305, 3268, 8183, 20490, 51306, 128467, 321673, 805448, 2016788, 5049902, 12644616, 31661270, 79277695, 198506027, 497045767, 1244569236, 3116317824, 7803050645, 19538315026, 48922629292, 122498979756, 306729222415, 768029383352, 1923094020999, 4815298338536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..30.

Index entries for Pisot sequences

FORMULA

a(n) = floor(a(n-1)^2/a(n-2)), a(0) = 5, a(1) = 13.

Conjectures: (Start)

G.f.: (5 - 2*x + 4*x^2 - 5*x^3 + x^4 - 2*x^5)/((1 - x)*(1 - 2*x - 3*x^3 - x^5)).

a(n) = 3*a(n-1) - 2*a(n-2) + 3*a(n-3) - 3*a(n-4) + a(n-5) - a(n-6). (End)

MATHEMATICA

RecurrenceTable[{a[0] == 5, a[1] == 13, a[n] == Floor[a[n - 1]^2/a[n - 2]]}, a, {n, 30}]

CROSSREFS

Cf. A008776 for definitions of Pisot sequences.

Cf. A020749, A020750.

Cf. A001519 (with offset 3 appears to be Pisot sequences E(5,13), L(5,13), P(5,13))

Sequence in context: A141025 A100227 A185454 * A183774 A027051 A109786

Adjacent sequences:  A278761 A278762 A278763 * A278765 A278766 A278767

KEYWORD

nonn,easy

AUTHOR

Ilya Gutkovskiy, Nov 28 2016

STATUS

approved

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Last modified February 19 08:38 EST 2018. Contains 299330 sequences. (Running on oeis4.)