|
Search: id:A081010
|
|
|
| A081010 |
|
Fibonacci(4n+1)+2, or Fibonacci(2n-1)*Lucas(2n+2). |
|
+0
1
|
|
| 3, 7, 36, 235, 1599, 10948, 75027, 514231, 3524580, 24157819, 165580143, 1134903172, 7778742051, 53316291175, 365435296164, 2504730781963, 17167680177567, 117669030460996, 806515533049395, 5527939700884759
(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)
a(n) = 2 + .5[A001906(n+1)]^2 + .5[A001519(n)]^2 - Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Aug 15 2004
|
|
MAPLE
|
with(combinat) for n from 0 to 25 do printf(`%d, `, fibonacci(4*n+1)+2) od
|
|
CROSSREFS
|
Cf. A000045 (Fibonacci numbers), A000032 (Lucas numbers).
Adjacent sequences: A081007 A081008 A081009 this_sequence A081011 A081012 A081013
Sequence in context: A047158 A102917 A049366 this_sequence A100377 A049493 A020463
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
R. K. Guy (rkg(AT)cpsc.ucalgary.ca), Mar 01, 2003
|
|
EXTENSIONS
|
More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), Mar 03, 2003
|
|
|
Search completed in 0.002 seconds
|
