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Search: id:A083102
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| A083102 |
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a(n)=2a(n-1)+10*a(n-2). |
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+0
5
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| 1, 2, 14, 48, 236, 952, 4264, 18048, 78736, 337952, 1463264, 6306048, 27244736, 117549952, 507547264, 2190594048, 9456660736, 40819261952, 176205131264, 760602882048, 3283257076736, 14172542973952, 61177656715264
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OFFSET
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0,2
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COMMENT
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a(n+1)=a(n)+A083101(n). A083101(n)/a(n) converges to sqrt(11).
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FORMULA
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G.f.: 1/(1-2x-10x^2)
E.g.f. : exp(x)sinh(sqrt(11)x)/sqrt(11); a(n)=sum{k=0..n, binomial(n, 2k+1)11^k}. - Paul Barry (pbarry(AT)wit.ie), Sep 29 2004
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MATHEMATICA
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CoefficientList[Series[1/(1-2x-10x^2), {x, 0, 25}], x]
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CROSSREFS
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Sequence in context: A085929 A036659 A079937 this_sequence A056080 A064363 A067056
Adjacent sequences: A083099 A083100 A083101 this_sequence A083103 A083104 A083105
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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 22 2003
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