|
|
A184959
|
|
Fibonacci sequence beginning 10, 9.
|
|
0
|
|
|
10, 9, 19, 28, 47, 75, 122, 197, 319, 516, 835, 1351, 2186, 3537, 5723, 9260, 14983, 24243, 39226, 63469, 102695, 166164, 268859, 435023, 703882, 1138905, 1842787, 2981692, 4824479, 7806171, 12630650, 20436821, 33067471, 53504292, 86571763, 140076055
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (z-10)/(z^2+z-1).
E.g.f: (2*exp(z/2)/5)*(25*cosh(sqrt(5)z/2)+4*sqrt(5)*sinh(sqrt(5)z/2).
a(n) = (2^(-n)/sqrt(5))*((1-sqrt(5))^n*(5*sqrt(5)-4)+(1+sqrt(5))^n*(5*sqrt(5)+4)).
(End)
a(n) = Lucas(n+4) - Fibonacci(n-4). - Greg Dresden and Erin Addison, Mar 02 2022
|
|
MATHEMATICA
|
LinearRecurrence[{1, 1}, {10, 9}, 100]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|