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A162725
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a(n) = 8*a(n-1) - 19*a(n-2) + 12*a(n-3) (n >= 3) with a(0) = a(1) = 1, a(2) = 2.
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0
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1, 1, 2, 9, 46, 221, 1002, 4369, 18566, 77541, 320002, 1309529, 5326686, 21572461, 87087002, 350739489, 1410132406, 5662052981, 22712782002, 91044838249, 364760483726, 1460785327101, 5848371485002, 23409176469809, 93683777468646
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OFFSET
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0,3
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COMMENTS
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The above sequence also satisfies a(n) - 7*a(n-1) + 12*a(n-2) = 7 (n >= 2) with a(0)=a(1)=1.
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LINKS
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FORMULA
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G.f.: -(1-7*x+13*x^2)/((x-1)*(3*x-1)*(4*x-1)). - R. J. Mathar, Jul 31 2009
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MAPLE
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seq(7/6-(1/2)*3^n+(1/3)*4^n, n = 0 .. 25); # Emeric Deutsch, Jul 19 2009
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Tian-Xiao He (the(AT)iwu.edu), Jul 11 2009
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EXTENSIONS
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STATUS
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approved
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