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A042858 Numerators of continued fraction convergents to sqrt(960). 2
30, 31, 1890, 1921, 117150, 119071, 7261410, 7380481, 450090270, 457470751, 27898335330, 28355806081, 1729246700190, 1757602506271, 107185397076450, 108942999582721, 6643765372039710, 6752708371622431, 411806267669385570, 418558976041008001, 25525344830129865630 (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 (0,62,0,-1).

FORMULA

G.f.: (30 +31*x +30*x^2 -x^3)/(1 -62*x^2 +x^4). - Vincenzo Librandi, Dec 08 2013

a(n) = 62*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[960], 30]] (* Vincenzo Librandi, Dec 07 2013 *)

CoefficientList[Series[(30 + 31 x + 30 x^2 - x^3)/(1 - 62 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 08 2013 *)

PROG

(MAGMA) I:=[ 30, 31, 1890, 1921]; [n le 4 select I[n] else 62*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 08 2013

CROSSREFS

Cf. A042859.

Sequence in context: A268337 A042856 A042857 * A175514 A043584 A043776

Adjacent sequences:  A042855 A042856 A042857 * A042859 A042860 A042861

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Dec 08 2013

STATUS

approved

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Last modified June 18 11:11 EDT 2018. Contains 305554 sequences. (Running on oeis4.)