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Search: id:A133680
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| A133680 |
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a(n)=8*a(n-1)+72*a(n-2) for n>=3, a(0)=1, a(1)=8, a(2)=128 . |
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+0
2
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| 1, 8, 128, 1600, 22016, 291328, 3915776, 52301824, 700350464, 9368535040, 125373513728, 1677522632704, 22447074050048, 300358221955072, 4019055107244032, 53778232838717440, 719597830431309824
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OFFSET
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0,2
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FORMULA
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G.f.: (1-8*x^2)/(1-8*x-72*x^2) . a(n) = Sum_{k, 0<=k<=n}A122950(n,k)*8^k .
a(n)=4*[4+2*sqrt(22)]^(n-1)+4*[4-2*sqrt(22)]^(n-1)+(12/11)*[4+2*sqrt(22)]^(n-1)*sqrt(22)-(12/11)*[4-2 *sqrt(22)]^(n-1)*sqrt(22)+(1/9)*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 28 2008]
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CROSSREFS
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Sequence in context: A061549 A105094 A036294 this_sequence A013777 A051189 A113135
Adjacent sequences: A133677 A133678 A133679 this_sequence A133681 A133682 A133683
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KEYWORD
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easy,nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 31 2007
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