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Search: id:A137229
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| A137229 |
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Transform of A000217 without the initial 0 by the T_{0,0} transformation (see link). |
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+0
2
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| 1, 4, 11, 27, 64, 150, 350, 815, 1896, 4409, 10251, 23832, 55404, 128800, 299425, 696080, 1618191, 3761839, 8745216, 20330162, 47261894, 109870575, 255418100, 593775045, 1380359511, 3208946544, 7459895656, 17342153392, 40315615409
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Partial sums of A095263. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 04 2008]
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LINKS
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Richard Choulet, Curtz-like transformation.
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FORMULA
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The o.g.f is the function f given by f(z)=a(0)+a(1)*z+...=(1/((1-z)*(1-3*z+2*z^2-z^3)))
a(n) = term (4,1) in the 4x4 matrix [3,1,0,0; -2,0,1,0; 1,0,0,0; 1,0,0,1]^(n). - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 24 2008
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MAPLE
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a := n -> (Matrix([[3, 1, 0, 0], [ -2, 0, 1, 0], [1, 0, 0, 0], [1, 0, 0, 1]])^(n))[4, 1]; seq (a(n), n=1..50); - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 24 2008
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CROSSREFS
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Cf. A136302, A136303, A136304, A136305.
Sequence in context: A047859 A100335 A080869 this_sequence A027439 A108985 A014151
Adjacent sequences: A137226 A137227 A137228 this_sequence A137230 A137231 A137232
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KEYWORD
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easy,nonn
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AUTHOR
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Richard Choulet (richardchoulet(AT)yahoo.fr), Apr 05 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 04 2008
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