|
|
A078024
|
|
Expansion of (1-x)/(1-2*x^2-x^3).
|
|
4
|
|
|
1, -1, 2, -1, 3, 0, 5, 3, 10, 11, 23, 32, 57, 87, 146, 231, 379, 608, 989, 1595, 2586, 4179, 6767, 10944, 17713, 28655, 46370, 75023, 121395, 196416, 317813, 514227, 832042, 1346267, 2178311, 3524576, 5702889, 9227463, 14930354, 24157815, 39088171, 63245984, 102334157
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = Fibonacci(n+2) - Lucas(n) + 2*(-1)^n.
|
|
MATHEMATICA
|
LinearRecurrence[{0, 2, 1}, {1, -1, 2}, 50] (* Harvey P. Dale, Jan 14 2015 *)
Table[Fibonacci[n-2] +2*(-1)^n, {n, 0, 50}] (* G. C. Greubel, Aug 04 2019 *)
|
|
PROG
|
(Magma) [Fibonacci(n-2) +2*(-1)^n: n in [0..50]]; // G. C. Greubel, Aug 04 2019
(Sage) [fibonacci(n-2) + 2*(-1)^n for n in (0..50)] # G. C. Greubel, Aug 04 2019
(GAP) List([0..50], n-> Fibonacci(n-2) + 2*(-1)^n); # G. C. Greubel, Aug 04 2019
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|