A041926 Numerators of continued fraction convergents to sqrt(486).

22, 485, 21362, 470449, 20721118, 456335045, 20099463098, 442644523201, 19496458483942, 429364731169925, 18911544629960642, 416483346590304049, 18344178794603338798, 403988416827863757605, 17793834519220608673418

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,970,0,-1).

Formula

G.f.: (22 + 485*x + 22*x^2 - x^3)/(1 - 970*x^2 + x^4). - Vincenzo Librandi, Nov 12 2013

a(n) = 970*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 12 2013

Mathematica

Numerator[Convergents[Sqrt[486], 30]] (* or *) CoefficientList[Series[(22 + 485 x + 22 x^2 - x^3)/(1 - 970 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 12 2013 *)

Prog

(Magma) I:=[22, 485, 21362, 470449]; [n le 4 select I[n] else 970*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 12 2013

Crossrefs

Cf. A041927.

Sequence in context: A009966 A285876 A041221 * A230350 A180780 A121904

Adjacent sequences: A041923 A041924 A041925 * A041927 A041928 A041929

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved