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A114050 x such that x^2 - 22*y^2 = 1. +0
1
1, 197, 77617, 30580901, 12048797377, 4747195585637, 1870383011943601, 736926159510193157, 290347036464004160257, 114395995440658128948101, 45071731856582838801391537, 17758147955498197829619317477 (list; graph; listen)
OFFSET

0,2

COMMENT

A pellian equation (Pell's equation) - Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 03 2006

LINKS

Tanya Khovanova, Recursive Sequences

Author?, Title?

John Robertson, Home page.

FORMULA

a(0)=1, a(1)=197 then a(n)=394*a(n-1)-a(n-2) - Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 03 2006

PROGRAM

(PARI) g(n, k) = for(y=0, n, x=k*y^2+1; if(issquare(x), print1(floor(sqrt(x))", ")))

(PARI) a0=1; a1=197; for(n=2, 30, a2=394*a1-a0; a0=a1; a1=a2; print1(a2, ", ")) (Cloitre)

CROSSREFS

Sequence in context: A031706 A031602 A097733 this_sequence A145452 A025375 A031512

Adjacent sequences: A114047 A114048 A114049 this_sequence A114051 A114052 A114053

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), Feb 01 2006

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 03 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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