|
Search: id:A081067
|
|
|
| A081067 |
|
Lucas(4n+2)+2, or 5*Fibonacci(2n+1)^2. |
|
+0
3
|
|
| 5, 20, 125, 845, 5780, 39605, 271445, 1860500, 12752045, 87403805, 599074580, 4106118245, 28143753125, 192900153620, 1322157322205, 9062201101805, 62113250390420, 425730551631125, 2918000611027445, 20000273725560980
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
Hugh C. Williams, Edouard Lucas and Primality Testing, John Wiley and Sons, 1998, p. 75
|
|
FORMULA
|
a(n) = 8a(n-1)-8a(n-2)+a(n-3)
|
|
MAPLE
|
luc := proc(n) option remember: if n=0 then RETURN(2) fi: if n=1 then RETURN(1) fi: luc(n-1)+luc(n-2): end: for n from 0 to 40 do printf(`%d, `, luc(4*n+2)+2) od:
|
|
CROSSREFS
|
Cf. A000045 (Fibonacci numbers), A000032 (Lucas numbers).
Sequence in context: A028944 A054720 A110373 this_sequence A024066 A009569 A061964
Adjacent sequences: A081064 A081065 A081066 this_sequence A081068 A081069 A081070
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
R. K. Guy (rkg(AT)cpsc.ucalgary.ca), Mar 04, 2003
|
|
EXTENSIONS
|
More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), Mar 05, 2003
|
|
|
Search completed in 0.002 seconds
|
