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A042863 Denominators of continued fraction convergents to sqrt(963). 2
1, 31, 1923, 59644, 3699851, 114755025, 7118511401, 220788608456, 13696012235673, 424797167914319, 26351120422923451, 817309530278541300, 50699541997692484051, 1572503111458745546881, 97545892452439916390673, 3025495169137096153657744 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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.: -(x^2-31*x-1) / (x^4-1924*x^2+1). - Colin Barker, Dec 25 2013

a(n) = 1924*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 25 2013

MATHEMATICA

Denominator[Convergents[Sqrt[963], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

PROG

(MAGMA) I:=[1, 31, 1923, 59644]; [n le 4 select I[n] else 1924*Self(n-2)-Self(n-4): n in [1..50]]; // Vincenzo Librandi, Dec 25 2013

CROSSREFS

Cf. A042862, A040931.

Sequence in context: A069432 A055629 A131751 * A042860 A184488 A218352

Adjacent sequences:  A042860 A042861 A042862 * A042864 A042865 A042866

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 February 21 18:45 EST 2019. Contains 320376 sequences. (Running on oeis4.)