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A145206 Numbers X such that 201*X^2+67 is a square 0
293, 301845963, 310958692622677, 320346535552653772667, 330017797460677431371194053, 339981034765694936488737747687403, 350245062204941248823872062858714502517 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..7.

Index entries for linear recurrences with constant coefficients, signature (1030190,-1).

FORMULA

a(n+2)=1030190*a(n+1)-a(n).

a(n)=(293/2)*{[515095+124*sqrt(17255649)]^n+[515095-124*sqrt(17255649))^n}-(31/879)*sqrt(17255649)*{[515095-124 *sqrt(17255649)]^n-[515095+124*sqrt(17255649)]^n}, with n>=0. [From Paolo P. Lava, Nov 25 2008]

G.f.: 293*(x+1)/(x^2-1030190*x+1). [Colin Barker, Aug 24 2012]

EXAMPLE

The first relation is 4154^2=201*293^2+67

CROSSREFS

Sequence in context: A085502 A108828 A239825 * A153579 A132187 A255104

Adjacent sequences:  A145203 A145204 A145205 * A145207 A145208 A145209

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Oct 04 2008

STATUS

approved

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Last modified February 19 20:17 EST 2019. Contains 320328 sequences. (Running on oeis4.)