A041480 Numerators of continued fraction convergents to sqrt(257).

16, 513, 16432, 526337, 16859216, 540021249, 17297539184, 554061275137, 17747258343568, 568466328269313, 18208669762961584, 583245898743040001, 18682077429540241616, 598409723644030771713, 19167793234038524936432, 613967793212876828737537

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (32,1).

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

Adjacent sequences: A041477 A041478 A041479 * A041481 A041482 A041483

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

Additional term from Colin Barker, Nov 07 2013

Status

approved