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A123011 Scaled 2 X 2 rational vector matrix Markov: characteristic polynomial: -1/5- 2 x/5 + x^2. +0
1
1, 5, 15, 55, 185, 645, 2215, 7655, 26385, 91045, 314015, 1083255, 3736585, 12889445, 44461815, 153370855, 529050785, 1824955845, 6295165615, 21715110455, 74906048985, 258387650245, 891305545415, 3074549342055 (list; graph; listen)
OFFSET

1,2

FORMULA

M := {{0, 1}, {1/5, 2/5}}; v[1] = {1, 1}; v[n_] := v[n] = M.v[n - 1]; a(n) = v[n][[1]]

MATHEMATICA

M := {{0, 1}, {1/5, 2/5}}; v[1] = {1, 1}; v[n_] := v[n] = M.v[n - 1]; a = Table[v[n][[1]]*5^(n - 1), {n, 1, 30}]

CROSSREFS

Sequence in context: A109245 A002221 A007714 this_sequence A006358 A054108 A114947

Adjacent sequences: A123008 A123009 A123010 this_sequence A123012 A123013 A123014

KEYWORD

nonn,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 23 2006

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.


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