login
A228536
y-values in the solution to the Pell equation x^2 - 53*y^2 = -1.
2
25, 3312425, 438889687625, 58152005827624825, 7705024467709744375225, 1020900331864453704400937225, 135267252163671362458005636062825, 17922640376161227851096377062651249625, 2374714004425343115650896405589159636750425
OFFSET
1,1
FORMULA
a(n) = 132498*a(n-1)-a(n-2).
G.f.: -25*x*(x-1) / (x^2-132498*x+1).
MATHEMATICA
CoefficientList[Series[-25 (x - 1) / (x^2 - 132498 x + 1), {x, 0, 10}], x] (* Vincenzo Librandi, Aug 25 2013 *)
PROG
(PARI) Vec(-25*x*(x-1)/(x^2-132498*x+1) + O(x^50))
CROSSREFS
Cf. A228535 gives the corresponding x-values.
Sequence in context: A347812 A251362 A196520 * A191559 A279039 A237522
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Aug 24 2013
STATUS
approved