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A199210
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a(n) = (11*4^n + 1)/3.
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3
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4, 15, 59, 235, 939, 3755, 15019, 60075, 240299, 961195, 3844779, 15379115, 61516459, 246065835, 984263339, 3937053355, 15748213419, 62992853675, 251971414699, 1007885658795, 4031542635179, 16126170540715, 64504682162859
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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) = 4*a(n-1) - 1.
a(n) = 5*a(n-1) - 4*a(n-2).
E.g.f.: (1/3)*(11*exp(4*x) + exp(x)). - G. C. Greubel, Jan 19 2023
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MATHEMATICA
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LinearRecurrence[{5, -4}, {4, 15}, 31] (* G. C. Greubel, Jan 19 2023 *)
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PROG
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(Magma) [(11*4^n+1)/3: n in [0..30]];
(SageMath) [(11*4^n+1)/3 for n in range(31)] # G. C. Greubel, Jan 19 2023
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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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STATUS
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approved
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