|
Search: id:A114051
|
|
|
| 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
|
|
|
Search completed in 0.002 seconds
|