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A123009 Scaled 2 X 2 vextor matrix Markov for characteristic Polynomial ( tin mean): -1 - 2 x/7 + x^2. +0
1
1, 7, 63, 469, 4025, 31031, 259287, 2039093, 16783249, 133482055, 1089343311, 8719307317, 70816436873, 568878932279, 4607763271335, 37090594224341, 299961588744097, 2417362294480903, 19532842437422559, 157516437304409365 (list; graph; listen)
OFFSET

1,2

REFERENCES

Jay Kappraff, Beyond Measure, A Guided Tour Through Nature, Myth and Number, World Scientific, 2002.

FORMULA

M := {{0, 1}, {1, 2/7}}; v[1] = {1, 1}; v[n_] := v[n] = M.v[n - 1]; a(n) = v[n][[1]]

MATHEMATICA

M := {{0, 1}, {1, 2/7}}; v[1] = {1, 1}; v[n_] := v[n] = M.v[n - 1]; a = Table[v[n][[1]]*7^(n - 1), {n, 1, 30}]

CROSSREFS

Cf. A002534.

Sequence in context: A043027 A165759 A166153 this_sequence A024088 A155132 A015684

Adjacent sequences: A123006 A123007 A123008 this_sequence A123010 A123011 A123012

KEYWORD

nonn,uned

AUTHOR

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

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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