A041360 Numerators of continued fraction convergents to sqrt(194).

13, 14, 181, 195, 5251, 5446, 70603, 76049, 2047877, 2123926, 27534989, 29658915, 798666779, 828325694, 10738575107, 11566900801, 311477995933, 323044896734, 4188016756741, 4511061653475, 121475619747091, 125986681400566, 1633315796553883, 1759302477954449

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