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A190985
a(n) = 10*a(n-1) - 3*a(n-2), with a(0)=0, a(1)=1.
2
0, 1, 10, 97, 940, 9109, 88270, 855373, 8288920, 80323081, 778364050, 7542671257, 73091620420, 708288190429, 6863607043030, 66511205859013, 644521237461040, 6245678757033361, 60523223857950490, 586495202308404817, 5683382351510196700, 55074337908176752549
OFFSET
0,3
FORMULA
G.f.: x/(1-10x+3*x^2). - Philippe Deléham, Oct 12 2011
E.g.f.: (1/sqrt(22))*exp(5*x)*sinh(sqrt(22)*x). - G. C. Greubel, Sep 03 2022
MATHEMATICA
LinearRecurrence[{10, -3}, {0, 1}, 50]
PROG
(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)
[A190985(n) for n in (0..30)] # G. C. Greubel, Sep 03 2022
CROSSREFS
Cf. A190958 (index to generalized Fibonacci sequences).
Sequence in context: A288430 A209262 A308523 * A379706 A044642 A363186
KEYWORD
nonn
AUTHOR
STATUS
approved