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A190984
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a(n) = 9*a(n-1) - 7*a(n-2), with a(0)=0, a(1)=1.
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7
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0, 1, 9, 74, 603, 4909, 39960, 325277, 2647773, 21553018, 175442751, 1428113633, 11624923440, 94627515529, 770273175681, 6270065972426, 51038681522067, 415457671891621, 3381848276370120, 27528430784089733, 224082939122216757, 1824047436611322682
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: (2/sqrt(53))*exp(9*x/2)*sinh(sqrt(53)*x/2). - G. C. Greubel, Aug 26 2022
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MATHEMATICA
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LinearRecurrence[{9, -7}, {0, 1}, 50]
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PROG
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(Magma) [Round(7^((n-1)/2)*Evaluate(ChebyshevU(n), 9/(2*Sqrt(7)))): n in [0..30]]; // G. C. Greubel, Aug 26 2022
(SageMath)
A190984 = BinaryRecurrenceSequence(9, -7, 0, 1)
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CROSSREFS
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Cf. A190958 (index to generalized Fibonacci sequences).
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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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