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A041522 Numerators of continued fraction convergents to sqrt(278). 2
16, 17, 50, 817, 1684, 2501, 81716, 84217, 250150, 4086617, 8423384, 12510001, 408743416, 421253417, 1251250250, 20441257417, 42133765084, 62575022501, 2044534485116, 2107109507617, 6258753500350, 102247165513217, 210753084526784, 313000250040001 (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 (0,0,0,0,0,5002,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -16*x^10 +17*x^9 -50*x^8 +817*x^7 -1684*x^6 -2501*x^5 -1684*x^4 -817*x^3 -50*x^2 -17*x -16) / (x^12 -5002*x^6 +1). - Colin Barker, Nov 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[278], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041523.

Sequence in context: A041526 A041524 A042205 * A097221 A097220 A041530

Adjacent sequences:  A041519 A041520 A041521 * A041523 A041524 A041525

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 08 2013

STATUS

approved

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Last modified February 22 18:31 EST 2019. Contains 320400 sequences. (Running on oeis4.)