|
|
A190989
|
|
a(n) = 10*a(n-1) - 7*a(n-2), with a(0)=0, a(1)=1.
|
|
4
|
|
|
0, 1, 10, 93, 860, 7949, 73470, 679057, 6276280, 58009401, 536160050, 4955534693, 45802226580, 423333522949, 3912719643430, 36163861773657, 334249580232560, 3089348769910001, 28553740637472090, 263911964985350893, 2439243465391204300, 22545050899014586749
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
E.g.f.: (1/(3*sqrt(2)))*exp(5*x)*sinh(3*sqrt(2)*x). - G. C. Greubel, Sep 16 2022
|
|
MATHEMATICA
|
LinearRecurrence[{10, -7}, {0, 1}, 50]
|
|
PROG
|
(Magma) [Round(7^((n-1)/2)*Evaluate(ChebyshevU(n), 5/Sqrt(7))): n in [0..30]]; // G. C. Greubel, Sep 15 2022
(SageMath)
A190989 = BinaryRecurrenceSequence(10, -7, 0, 1)
|
|
CROSSREFS
|
Cf. A190958 (index to generalized Fibonacci sequences)
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|