Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A228547
y-values in the solution to the Pell equation x^2 - 74*y^2 = -1.
2
5, 36985, 273615025, 2024203917965, 14975060311490045, 110785494160199434945, 819591070822095108233065, 6063334631156365450508779925, 44856548781703720780768845652085, 331848741823709495179762469625344905
OFFSET
1,1
COMMENTS
All terms are multiples of 5.
LINKS
FORMULA
a(n) = 7398*a(n-1)-a(n-2).
G.f.: -5*(x-1) / (x^2-7398*x+1).
MATHEMATICA
LinearRecurrence[{7398, -1}, {5, 36985}, 20] (* Harvey P. Dale, Jan 14 2015 *)
PROG
(PARI) Vec(-5*(x-1)/(x^2-7398*x+1) + O(x^30))
CROSSREFS
Cf. A228546 gives the corresponding x-values.
Sequence in context: A246870 A193366 A347934 * A193148 A307492 A355959
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Aug 25 2013
STATUS
approved