|
| |
|
|
A174779
|
|
y-values in the solution to x^2 - 42*y^2 = 1.
|
|
1
|
|
|
|
0, 2, 52, 1350, 35048, 909898, 23622300, 613269902, 15921395152, 413343004050, 10730996710148, 278592571459798, 7232675861244600, 187770979820899802, 4874812799482150252, 126557361806715006750, 3285616594175108025248
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
The corresponding values of x of this Pell equation are in A097308.
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 1..200
Index entries for linear recurrences with constant coefficients, signature (26,-1).
|
|
|
FORMULA
|
a(n) = 26*a(n-1)-a(n-2) with a(1)=0, a(2)=2.
G.f.: 2*x^2/(1-26*x+x^2).
|
|
|
MATHEMATICA
|
LinearRecurrence[{26, -1}, {0, 2}, 30]
|
|
|
PROG
|
(MAGMA) I:=[0, 2]; [n le 2 select I[n] else 26*Self(n-1)-Self(n-2): n in [1..20]];
|
|
|
CROSSREFS
|
Cf. A097308.
Sequence in context: A284767 A101930 A297756 * A215744 A099882 A216611
Adjacent sequences: A174776 A174777 A174778 * A174780 A174781 A174782
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Vincenzo Librandi, Apr 15 2010
|
|
|
STATUS
|
approved
|
| |
|
|
