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Search: id:A083337
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| 0, 3, 6, 18, 48, 132, 360, 984, 2688, 7344, 20064, 54816, 149760, 409152, 1117824, 3053952, 8343552, 22795008, 62277120, 170144256, 464842752, 1269974016, 3469633536, 9479215104, 25897697280, 70753824768
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OFFSET
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0,2
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COMMENT
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a(n)=a(n-1)+3*A026150(n-1). a(n)/A026150(n) converges to sqrt(3).
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
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FORMULA
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G.f.: 3x/(1-2x-2x^2).
a(n), n>0 = lower left term of [1,1; 3,1]^n - Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 12 2008
a(n)=(1/2)*[1+sqrt(3)]^n*sqrt(3)-(1/2)*sqrt(3)*[1-sqrt(3)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
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MATHEMATICA
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CoefficientList[Series[3x/(1-2x-2x^2), {x, 0, 25}], x]
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CROSSREFS
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Equals 3 * A002605.
Cf. A026150.
Sequence in context: A148558 A148559 A108507 this_sequence A019308 A000932 A161006
Adjacent sequences: A083334 A083335 A083336 this_sequence A083338 A083339 A083340
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Apr 29 2003
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