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A114051 x such that x^2 - 23*y^2 = 1. +0
1
1, 24, 1151, 55224, 2649601, 127125624, 6099380351, 292643131224, 14040770918401, 673664360952024, 32321848554778751, 1550775066268428024, 74404881332329766401, 3569883528885560359224, 171280004505174567476351 (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)=24 then a(n)=48*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=24; for(n=2, 30, a2=48*a1-a0; a0=a1; a1=a2; print1(a2, ", ")) (Cloitre)

CROSSREFS

Sequence in context: A112010 A046906 A130552 this_sequence A010562 A080775 A090675

Adjacent sequences: A114048 A114049 A114050 this_sequence A114052 A114053 A114054

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

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Mar 17 2006

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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