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A041926 Numerators of continued fraction convergents to sqrt(486). 2
22, 485, 21362, 470449, 20721118, 456335045, 20099463098, 442644523201, 19496458483942, 429364731169925, 18911544629960642, 416483346590304049, 18344178794603338798, 403988416827863757605, 17793834519220608673418 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 13 07:13 EST 2019. Contains 329085 sequences. (Running on oeis4.)