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Search: id:A125817
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| A125817 |
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a(n)=((1 + 3Sqrt[2])^n - (1 - 3Sqrt[2])^n)/(2Sqrt[2]). |
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+0
2
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| 0, 3, 6, 63, 228, 1527, 6930, 39819, 197448, 1071819, 5500254, 29221431, 151947180, 800658687, 4184419434, 21980036547, 115095203472
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OFFSET
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1,2
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FORMULA
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a(0)=0, a(1)=3, a(n)=2*a(n-1)+17*a(n-2) for n>=2 . G.f.:3*x/(1-2*x-17*x^2) - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 12 2006
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MATHEMATICA
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Expand[Table[((1 + 3Sqrt[2])^n - (1 - 3Sqrt[2])^n)/(2Sqrt[2]), {n, 0, 30}]] (*Artur Jasinski*)
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CROSSREFS
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Adjacent sequences: A125814 A125815 A125816 this_sequence A125818 A125819 A125820
Sequence in context: A137134 A137090 A137138 this_sequence A053948 A137091 A137135
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Dec 10 2006
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