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A122007
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G.f. 2*x^2*(1-2*x)/((3*x-1) * (3*x^2-1) ).
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0
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0, 2, 2, 12, 24, 90, 234, 756, 2160, 6642, 19602, 59292, 176904, 532170, 1593594, 4785156, 14346720, 43053282, 129133602, 387440172, 1162241784, 3486843450, 10460294154, 31381236756, 94143001680, 282430067922, 847288078002
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| "Linear Algebra, Examples and Applications" by Alain M. Robert, World Scientific, 2005, p. 58.
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FORMULA
| Limit a(n+1)/a(n)= 3 as n-> infinity.
a(n)= 3*a(n-1) +3*a(n-2) -9*a(n-3) = 3^(n-2) + (-1)^n*A108411(n-2), n>=2.
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MATHEMATICA
| M = {{0, 1, 2}, {1, 2, 0}, {2, 0, 1}} v[1] = {1, 0, 0} v[n_] := v[n] = M.v[n - 1] a1 = Table[v[n][[3]], {n, 1, 50}]
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CROSSREFS
| Sequence in context: A140431 A092900 A164961 * A137782 A131384 A052612
Adjacent sequences: A122004 A122005 A122006 * A122008 A122009 A122010
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KEYWORD
| nonn,easy
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AUTHOR
| Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 11 2006
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EXTENSIONS
| Definition replaced with generating function by the Assoc. Eds. of the OEIS, Mar 27 2010
A-number in formula corrected - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 30 2010
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