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A041360 Numerators of continued fraction convergents to sqrt(194). 2
13, 14, 181, 195, 5251, 5446, 70603, 76049, 2047877, 2123926, 27534989, 29658915, 798666779, 828325694, 10738575107, 11566900801, 311477995933, 323044896734, 4188016756741, 4511061653475, 121475619747091, 125986681400566, 1633315796553883, 1759302477954449 (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 (0,0,0,390,0,0,0,-1).

FORMULA

G.f.: -(x^7-13*x^6+14*x^5-181*x^4-195*x^3-181*x^2-14*x-13) / (x^8-390*x^4+1). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[194], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

LinearRecurrence[{0, 0, 0, 390, 0, 0, 0, -1}, {13, 14, 181, 195, 5251, 5446, 70603, 76049}, 40] (* Harvey P. Dale, May 20 2019 *)

CROSSREFS

Cf. A041361.

Sequence in context: A033049 A249313 A041083 * A041361 A041362 A041835

Adjacent sequences:  A041357 A041358 A041359 * A041361 A041362 A041363

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 07 2013

STATUS

approved

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Last modified February 29 05:25 EST 2020. Contains 332353 sequences. (Running on oeis4.)