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A190988
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a(n) = 10*a(n-1) - 6*a(n-2), with a(0)=0, a(1)=1.
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3
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0, 1, 10, 94, 880, 8236, 77080, 721384, 6751360, 63185296, 591344800, 5534336224, 51795293440, 484746917056, 4536697409920, 42458492596864, 397364741509120, 3718896459510016, 34804776146045440, 325734382703394304, 3048515170157670400, 28530745405356338176
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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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a(n) = 6^((n-1)/2) * ChebyshevU(n-1, 5/sqrt(6)).
E.g.f.: (1/sqrt(19))*exp(5*x)*sinh(sqrt(19)*x). (End)
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MATHEMATICA
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LinearRecurrence[{10, -6}, {0, 1}, 50]
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PROG
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(Magma) [Round(6^((n-1)/2)*Evaluate(ChebyshevU(n), 5/Sqrt(6))): n in [0..30]]; // G. C. Greubel, Sep 15 2022
(SageMath)
A190988 = BinaryRecurrenceSequence(10, -6, 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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