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A106565
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Let M={{0, 5}, {1, 5}}, v[n]=M.v[n-1]; then a(n) =v[n][[1]].
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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; internal format)
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OFFSET
| 0,2
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COMMENTS
| 2 X 2 Vector Markov of quadratic Pisot with characteristic polynomial: x^2-5*x-5.
Real Pisot Roots:{-0.854102, 5.8541}
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
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FORMULA
| 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). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 19 2008]
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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}]
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CROSSREFS
| Equals 5*A057088. - T. D. Noe, Feb 17 2006
Sequence in context: A098212 A002050 A047782 * A200031 A092166 A204209
Adjacent sequences: A106562 A106563 A106564 * A106566 A106567 A106568
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 30 2005
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