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A164110
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a(n) = 12*a(n-1) - 34*a(n-2) for n > 1; a(0) = 5, a(1) = 36.
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3
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5, 36, 262, 1920, 14132, 104304, 771160, 5707584, 42271568, 313200960, 2321178208, 17205305856, 127543611200, 945542935296, 7010032442752, 51971929512960, 385322051101952, 2856819009782784, 21180878379927040
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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a(n) = ((5+3*sqrt(2))*(6+sqrt(2))^n+(5-3*sqrt(2))*(6-sqrt(2))^n)/2.
G.f.: (5-24*x)/(1-12*x+34*x^2).
E.g.f.: (5*cosh(sqrt(2)*x) + 3*sqrt(2)*sinh(sqrt(2)*x))*exp(6*x). - G. C. Greubel, Sep 11 2017
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MATHEMATICA
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LinearRecurrence[{12, -34}, {5, 36}, 50] (* G. C. Greubel, Sep 11 2017 *)
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PROG
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(Magma) [ n le 2 select 31*n-26 else 12*Self(n-1)-34*Self(n-2): n in [1..19] ];
(PARI) x='x+O('x^50); Vec((5-24*x)/(1-12*x+34*x^2)) \\ G. C. Greubel, Sep 11 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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