|
|
A157728
|
|
a(n) = Fibonacci(n) - 4.
|
|
12
|
|
|
1, 4, 9, 17, 30, 51, 85, 140, 229, 373, 606, 983, 1593, 2580, 4177, 6761, 10942, 17707, 28653, 46364, 75021, 121389, 196414, 317807, 514225, 832036, 1346265, 2178305, 3524574, 5702883, 9227461, 14930348, 24157813, 39088165, 63245982, 102334151
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
5,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 2*a(n-1) - a(n-3).
G.f.: x^5*(1+x)^2/((x-1)*(x^2+x-1)). (End)
|
|
MATHEMATICA
|
Fibonacci[Range[5, 40]]-4 (* or *) LinearRecurrence[{2, 0, -1}, {1, 4, 9}, 40] (* Harvey P. Dale, Jan 17 2022 *)
|
|
PROG
|
(Haskell)
|
|
CROSSREFS
|
Cf. A000045, A001611, A000071, A157725, A001911, A157726, A006327, A157727, A157728, A157729, A167616.
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|