|
Search: id:A075091
|
|
|
| A075091 |
|
Sum of Lucas numbers and reflected Lucas numbers (comment to A061084). |
|
+0
3
|
|
| 4, 0, 6, 0, 14, 0, 36, 0, 94, 0, 246, 0, 644, 0, 1686, 0, 4414, 0, 11556, 0, 30254, 0, 79206, 0, 207364, 0, 542886, 0, 1421294, 0, 3720996, 0, 9741694, 0, 25504086, 0, 66770564, 0, 174807606, 0, 457652254, 0, 1198149156, 0, 3136795214, 0
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
a(n)=((-1)^n+1)L(n), L(n)=Lucas number.
|
|
FORMULA
|
a(n)=3a(n-2)-a(n-4), a(0)=4, a(1)=0, a(2)=6, a(3)=0. G.f.: (4-6x^2)/(1-3x^2+x^4).
|
|
MATHEMATICA
|
CoefficientList[Series[(4 - 6*x^2)/(1 - 3*x^2 + x^4), {x, 0, 50}], x]
|
|
CROSSREFS
|
Cf. A000032, A061084.
Adjacent sequences: A075088 A075089 A075090 this_sequence A075092 A075093 A075094
Sequence in context: A037282 A075083 A023891 this_sequence A132953 A085968 A010637
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Mario Catalani (mario.catalani(AT)unito.it), Aug 31 2002
|
|
|
Search completed in 0.002 seconds
|
