Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A147525
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A147525 Numbers X such that there exists Y in N : X^2=309*Y^2+103 +0
1
1818362, 233487592671260018, 29981079637522561422843699458, 3849734052023190225799987829591837303402, 494326837141597862882377389715613614004616427568522 (list; graph; listen)
OFFSET

1,1

COMMENT

obtained with the fundamental unit 64202725495+3652365444*\sqrt(309) of Q(sqrt(309))

FORMULA

a(n+2)=128405450990*a(n+1)-a(n);

a(n)=909181*{[64202725495+3652365444*sqrt(309)]^n+[64202725495-3652365444*sqrt(309)]^n}-(103443/2)*{[64202725495-3652365444 *sqrt(309)]^n*sqrt(309)-[64202725495+3652365444*sqrt(309)]^n*sqrt(309)}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]

EXAMPLE

a(1)=1818362 because the first relation is : 1818362^2=309*103443^2+103

CROSSREFS

Sequence in context: A140861 A137819 A145537 this_sequence A115495 A015347 A145276

Adjacent sequences: A147522 A147523 A147524 this_sequence A147526 A147527 A147528

KEYWORD

easy,nonn

AUTHOR

Richard Choulet (richardchoulet(AT)yahoo.fr), Nov 06 2008

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


AT&T Labs Research