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A042904 Numerators of continued fraction convergents to sqrt(984). 2
31, 63, 94, 251, 596, 4423, 9442, 23307, 32749, 88805, 5538659, 11166123, 16704782, 44575687, 105856156, 785568779, 1676993714, 4139556207, 5816549921, 15772656049, 983721224959, 1983215105967, 2966936330926, 7917087767819, 18801111866564, 139524870833767 (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, 0, 0, 0, 0, 0, 0, 0, 0, 177610, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -31*x^18 +63*x^17 -94*x^16 +251*x^15 -596*x^14 +4423*x^13 -9442*x^12 +23307*x^11 -32749*x^10 -88805*x^9 -32749*x^8 -23307*x^7 -9442*x^6 -4423*x^5 -596*x^4 -251*x^3 -94*x^2 -63*x -31) / (x^20 -177610*x^10 +1). - Colin Barker, Dec 25 2013

MATHEMATICA

Numerator[Convergents[Sqrt[984], 30]]  (* Vincenzo Librandi, Dec 09 2013 *)

CROSSREFS

Cf. A042905, A040952.

Sequence in context: A135631 A276787 A042906 * A042902 A042900 A239128

Adjacent sequences:  A042901 A042902 A042903 * A042905 A042906 A042907

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified April 20 22:36 EDT 2021. Contains 343140 sequences. (Running on oeis4.)