A042350 Numerators of continued fraction convergents to sqrt(702).

26, 53, 2782, 5617, 294866, 595349, 31253014, 63101377, 3312524618, 6688150613, 351096356494, 708880863601, 37212901263746, 75134683391093, 3944216437600582, 7963567558592257, 418049729484397946, 844063026527388149

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,106,0,-1).

Formula

G.f.: (26 +53*x +26*x^2 -x^3)/(1- 106*x^2 +x^4), - Vincenzo Librandi, Nov 21 2013

a(n) = 106*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 22 2013

Mathematica

Numerator[Convergents[Sqrt[702], 30]] (* Harvey P. Dale, Sep 28 2012 *)
CoefficientList[Series[(26 + 53 x + 26 x^2 - x^3)/(1 - 106 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 21 2013 *)

Prog

(Magma) I:=[26, 53, 2782, 5617]; [n le 4 select I[n] else 106*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 22 2013

Crossrefs

Cf. A042351.

Sequence in context: A042344 A042346 A042348 * A255027 A132767 A255020

Adjacent sequences: A042347 A042348 A042349 * A042351 A042352 A042353

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved