

A106565


Let M={{0, 5}, {1, 5}}, v[n]=M.v[n1]; 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
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OFFSET

0,2


COMMENTS

2 X 2 Vector Markov of quadratic Pisot with characteristic polynomial: x^25*x5.
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(n1) + 5*a(n2), n > 1; a(0)=0, a(1)=5.
G.f.: 5x/(15x5x^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



