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A042862 Numerators of continued fraction convergents to sqrt(963). 2
31, 962, 59675, 1850887, 114814669, 3561105626, 220903363481, 6851565373537, 425017956522775, 13182408217579562, 817734327446455619, 25362946559057703751, 1573320420989024088181, 48798295997218804437362, 3027067672248554899204625, 93887896135702420679780737 (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, 1924, 0, -1).

FORMULA

G.f.: (31 +962*x +31*x^2 -x^3)/(1 -1924*x^2 +x^4). - Vincenzo Librandi, Dec 08 2013

a(n) = 1924*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[963], 30]] (* or *) CoefficientList[Series[(31 + 962 x + 31 x^2 - x^3)/(1 - 1924 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 08 2013 *)

PROG

(MAGMA) I:=[ 31, 962, 59675, 1850887]; [n le 4 select I[n] else 1924*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 08 2013

CROSSREFS

Cf. A042863.

Sequence in context: A208373 A171305 A009975 * A159674 A138958 A158675

Adjacent sequences:  A042859 A042860 A042861 * A042863 A042864 A042865

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 11:14 EDT 2018. Contains 305554 sequences. (Running on oeis4.)