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A145205 Numbers X such that (X^2-67)/201 is a square 0
4154, 4279405106, 4408600346145986, 4541695990591853912234, 4678809792543413381498198474, 4820063060175757335495037232017826, 4965580763957784639661088992670945968466 (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)=2077*{[515095+124*sqrt(17255649)]^n+[515095-124*sqrt(17255649)]^n}-(1/2)*sqrt(17255649)*{[515095-124 *sqrt(17255649)]^n-[515095+124*sqrt(17255649)]^n}, with n>=0. [From Paolo P. Lava, Nov 25 2008]

G.f.: -4154*x*(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: A072896 A052464 A161752 * A243025 A196494 A104824

Adjacent sequences:  A145202 A145203 A145204 * A145206 A145207 A145208

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Oct 04 2008

STATUS

approved

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Last modified May 27 20:52 EDT 2020. Contains 334669 sequences. (Running on oeis4.)