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Search: id:A108152
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| A108152 |
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a(n)= 3*a(n-1) +2*a(n-2) +a(n-3). |
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+0
1
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| 1, 0, 2, 7, 25, 91, 330, 1197, 4342, 15750, 57131, 207235, 751717, 2726752, 9890925, 35877996, 130142590, 472074687, 1712387237, 6211453675, 22531210186, 81728925145, 296460649482, 1075371008922, 3900763250875, 14149492419951
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: (-1+3*x)/(-1+3*x+2*x^2+x^3). [Sep 28 2009]
a(n) = A108153(n+1) -3*A108153(n). [Sep 28 2009]
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MATHEMATICA
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M = {{0, 1, 0}, {0, 0, 1}, {1, 2, 3}} a3 = Table[MatrixPower[M, i][[1, 2]], {i, 1, 50}]
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CROSSREFS
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Cf. A000073, A001590.
Sequence in context: A048576 A018907 A052936 this_sequence A097613 A024482 A074605
Adjacent sequences: A108149 A108150 A108151 this_sequence A108153 A108154 A108155
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KEYWORD
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nonn,easy
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 06 2005
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EXTENSIONS
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Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009
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