|
Search: id:A081078
|
|
|
| A081078 |
|
Lucas(4n)-3, or Lucas(2n-1)*Lucas(2n+1). |
|
+0 1
|
|
| 4, 44, 319, 2204, 15124, 103679, 710644, 4870844, 33385279, 228826124, 1568397604, 10749957119, 73681302244, 505019158604, 3461452807999, 23725150497404, 162614600673844, 1114577054219519, 7639424778862804
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
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 1 to 40 do printf(`%d, `, luc(4*n)-3) od:
|
|
CROSSREFS
|
Cf. A000032 (Lucas numbers).
Sequence in context: A077435 A074751 A129551 this_sequence A035014 A030987 A043039
Adjacent sequences: A081075 A081076 A081077 this_sequence A081079 A081080 A081081
|
|
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
|