|
|
A141752
|
|
a(n) = Sum_{k=0..n} ( Fibonacci(2*k-1) + (n-k)*Fibonacci(2*k) ).
|
|
1
|
|
|
1, 2, 5, 14, 39, 106, 283, 748, 1967, 5160, 13521, 35412, 92725, 242774, 635609, 1664066, 4356603, 11405758, 29860687, 78176320, 204668291, 535828572, 1402817445, 3672623784, 9615053929, 25172538026, 65902560173, 172535142518
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (1 - 3*x + 3*x^2)/((1 - 3*x + x^2)*(1-x)^2).
|
|
MATHEMATICA
|
LinearRecurrence[{5, -8, 5, -1}, {1, 2, 5, 14}, 30] (* Harvey P. Dale, May 23 2021 *)
|
|
PROG
|
(PARI) a(n)=sum(k=0, n, fibonacci(2*k-1) + (n-k)*fibonacci(2*k))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|