|
| |
|
|
A228579
|
|
x-values in the solution to the Pell equation x^2 - 106*y^2 = -1.
|
|
2
|
|
|
|
4005, 256961212515, 16486657605006072525, 1057785633576265066862185035, 67867634144387774982257006782401045, 4354394329202601312629024169108475989921555, 279378384309860411015977934462690086320911158397565
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
All terms are multiples of 4005.
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) = 64160102*a(n-1)-a(n-2).
G.f.: 4005*x*(x+1) / (x^2-64160102*x+1).
|
|
|
MATHEMATICA
|
LinearRecurrence[{64160102, -1}, {4005, 256961212515}, 20] (* Harvey P. Dale, Apr 05 2018 *)
|
|
|
PROG
|
(PARI) Vec(4005*x*(x+1)/(x^2-64160102*x+1) + O(x^30))
|
|
|
CROSSREFS
|
Cf. A228580 gives the corresponding y-values.
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
