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A106565 Let M={{0, 5}, {1, 5}}, v[n]=M.v[n-1]; then a(n) =v[n][[1]]. 1
0, 5, 25, 150, 875, 5125, 30000, 175625, 1028125, 6018750, 35234375, 206265625, 1207500000, 7068828125, 41381640625, 242252343750, 1418169921875, 8302111328125, 48601406250000, 284517587890625, 1665594970703125 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

2 X 2 Vector Markov of quadratic Pisot with characteristic polynomial: x^2-5*x-5.

Real Pisot Roots: {-0.854102, 5.8541}.

LINKS

Table of n, a(n) for n=0..20.

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (5,5).

FORMULA

From Philippe Deléham, Nov 19 2008: (Start)

a(n) = 5*a(n-1) + 5*a(n-2), n > 1; a(0)=0, a(1)=5.

G.f.: 5x/(1-5x-5x^2). (End)

MATHEMATICA

M = {{0, 5}, {1, 5}} v[1] = {0, 1} v[n_] := v[n] = M.v[n - 1] a = Table[v[n][[1]], {n, 1, 50}]

CROSSREFS

Equals 5*A057088(n). - T. D. Noe, Feb 17 2006

Sequence in context: A098212 A002050 A047782 * A200031 A216689 A297589

Adjacent sequences:  A106562 A106563 A106564 * A106566 A106567 A106568

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, May 30 2005

STATUS

approved

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Last modified November 30 06:11 EST 2020. Contains 338781 sequences. (Running on oeis4.)