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Search: id:A083695
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| 0, 3, 6, 27, 84, 303, 1026, 3567, 12264, 42363, 146046, 503907, 1738044, 5995623, 20681466, 71341047, 246089424, 848884083, 2928215286, 10100850987, 34842778404, 120189811743, 414593515506, 1430136089727, 4933239756984
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OFFSET
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0,2
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COMMENT
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A002533(n)/a(n) converges to sqrt(2/3), n>0. a(n)=3*A002533(n-1)+a(n-1).
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FORMULA
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G.f.: 3x/(1-2x-5x^2). a(n)=3[(1+sqrt(6))^n-(1-sqrt(6))^n]/(2*sqrt(6)).
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MATHEMATICA
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CoefficientList[Series[3x/(1-2x-5x^2), {x, 0, 25}], x]
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CROSSREFS
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Sequence in context: A014561 A034502 A023169 this_sequence A060170 A097678 A074894
Adjacent sequences: A083692 A083693 A083694 this_sequence A083696 A083697 A083698
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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), May 03 2003
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