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A042860 Numerators of continued fraction convergents to sqrt(962). 2
31, 1923, 119257, 7395857, 458662391, 28444464099, 1764015436529, 109397401528897, 6784402910228143, 420742377835673763, 26092811828722001449, 1618175075758599763601, 100352947508861907344711, 6223500920625196855135683, 385957410026271066925757057 (list; graph; refs; listen; history; text; internal format)
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 (62, 1).

FORMULA

From Philippe Deléham, Nov 23 2008: (Start)

a(n) = 62*a(n-1) + a(n-2), n > 1; a(0)=31, a(1)=1923.

G.f.: (31+x)/(1-62*x-x^2). (End)

a(n) = (1/2)*sqrt(962)*((31+sqrt(962))^n - (31-sqrt(962))^n) + (31/2)*((31-sqrt(962))^n + (31+sqrt(962))^n), with n >= 0. - Paolo P. Lava, Nov 28 2008

MATHEMATICA

Numerator[Convergents[Sqrt[962], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

CROSSREFS

Cf. A042861, A040930.

Sequence in context: A055629 A131751 A042863 * A184488 A218352 A297549

Adjacent sequences:  A042857 A042858 A042859 * A042861 A042862 A042863

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Additional term from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified August 14 13:37 EDT 2020. Contains 336480 sequences. (Running on oeis4.)