|
|
A041480
|
|
Numerators of continued fraction convergents to sqrt(257).
|
|
3
|
|
|
16, 513, 16432, 526337, 16859216, 540021249, 17297539184, 554061275137, 17747258343568, 568466328269313, 18208669762961584, 583245898743040001, 18682077429540241616, 598409723644030771713, 19167793234038524936432, 613967793212876828737537
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 32*a(n-1)+a(n-2), n>1 ; a(0)=16, a(1)=513. G.f.: (16+x)/(1-32*x-x^2). - Philippe Deléham, Nov 23 2008
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[257], 40]] (* or *) LinearRecurrence[{32, 1}, {16, 513}, 40] (* Harvey P. Dale, Aug 13 2012 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|