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A190985
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a(n) = 10*a(n-1) - 3*a(n-2), with a(0)=0, a(1)=1.
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2
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0, 1, 10, 97, 940, 9109, 88270, 855373, 8288920, 80323081, 778364050, 7542671257, 73091620420, 708288190429, 6863607043030, 66511205859013, 644521237461040, 6245678757033361, 60523223857950490, 586495202308404817, 5683382351510196700, 55074337908176752549
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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.: (1/sqrt(22))*exp(5*x)*sinh(sqrt(22)*x). - G. C. Greubel, Sep 03 2022
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MATHEMATICA
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LinearRecurrence[{10, -3}, {0, 1}, 50]
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PROG
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(Magma) [Round(3^((n-1)/2)*Evaluate(ChebyshevU(n), 5/Sqrt(3))): n in [0..30]]; // G. C. Greubel, Sep 03 2022
(SageMath)
A190985 = BinaryRecurrenceSequence(10, -3, 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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