[go: up one dir, main page]

login
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
OFFSET
0,1
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
Cf. A041481.
Sequence in context: A013825 A099772 A041483 * A227402 A371722 A263907
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
Additional term from Colin Barker, Nov 07 2013
STATUS
approved