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A136302
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Transform of A000027 by the T_{1,1} transformation (see link).
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3
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2, 6, 15, 35, 81, 188, 437, 1016, 2362, 5491, 12765, 29675, 68986, 160373, 372822, 866706, 2014847, 4683951, 10888865, 25313540, 58846841, 136802308, 318026782, 739322571, 1718716457, 3995531011, 9288482690, 21593102505, 50197873146
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Richard Choulet, Curtz-like transformation.
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FORMULA
| G.f.: f(z)=2+6*z+...=(2+z^2)/(1-3*z+2*z^2-z^3)
a(n+3)=3*a(n+2)-2*a(n+1)+a(n) (n>=0) [From Richard Choulet (richardchoulet(AT)yahoo.fr), Apr 07 2009]
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MAPLE
| a := n -> (Matrix([6, 2, 1]). Matrix([[3, 1, 0], [ -2, 0, 1], [1, 0, 0]])^n)[1, 3]; seq (a(n), n=1..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 14 2008]
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CROSSREFS
| Sequence in context: A126764 A090982 A153517 * A116404 A084860 A084798
Adjacent sequences: A136299 A136300 A136301 * A136303 A136304 A136305
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KEYWORD
| nonn,easy
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AUTHOR
| Richard Choulet (richardchoulet(AT)yahoo.fr), Mar 22 2008
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 14 2008
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