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A042758 Numerators of continued fraction convergents to sqrt(910). 2
30, 181, 10890, 65521, 3942150, 23718421, 1427047410, 8586002881, 516587220270, 3108109324501, 187003146690330, 1125126989466481, 67694622514679190, 407292862077541621, 24505266347167176450, 147438890945080600321, 8870838723052003195710 (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 (0,362,0,-1).

FORMULA

G.f.: (30 +181*x +30*x^2 -x^3)/(1 -362*x^2 +x^4). - Vincenzo Librandi, Dec 04 2013

a(n) = 362*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 04 2013

MATHEMATICA

Numerator[Convergents[Sqrt[910], 30]] (* or *) CoefficientList[Series[(30 + 181 x + 30 x^2 - x^3)/(1 - 362 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 04 2013 *)

PROG

(MAGMA) I:=[30, 181, 10890, 65521]; [n le 4 select I[n] else 362*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 04 2013

CROSSREFS

Cf. A042759.

Sequence in context: A042756 A281999 A156318 * A071311 A265037 A249001

Adjacent sequences:  A042755 A042756 A042757 * A042759 A042760 A042761

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Dec 04 2013

STATUS

approved

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Last modified February 21 01:09 EST 2019. Contains 320364 sequences. (Running on oeis4.)