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A163868
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a(n) = (4^n + 11)/3.
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6
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4, 5, 9, 25, 89, 345, 1369, 5465, 21849, 87385, 349529, 1398105, 5592409, 22369625, 89478489, 357913945, 1431655769, 5726623065, 22906492249, 91625968985, 366503875929, 1466015503705, 5864062014809, 23456248059225, 93824992236889, 375299968947545
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n)= 5*a(n-1) - 4*a(n-2).
G.f.: (4 - 15*x)/((4*x-1)*(x-1)). (End)
E.g.f.: (1/3)*(exp(4*x) + 11*exp(x)). - G. C. Greubel, Aug 06 2017
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MATHEMATICA
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LinearRecurrence[{5, -4}, {4, 5}, 50] (* G. C. Greubel, Aug 06 2017 *)
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PROG
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(PARI) x='x+O('x^50); Vec((4 - 15*x)/((4*x-1)*(x-1))) \\ G. C. Greubel, Aug 06 2017
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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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EXTENSIONS
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STATUS
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approved
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