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A041536 Numerators of continued fraction convergents to sqrt(285). 2
16, 17, 135, 287, 2144, 2431, 79936, 82367, 656505, 1395377, 10424144, 11819521, 388648816, 400468337, 3191927175, 6784322687, 50682185984, 57466508671, 1889610463456, 1947076972127, 15519149268345, 32985375508817, 246416777830064, 279402153338881 (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, 4862, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11 -16*x^10 +17*x^9 -135*x^8 +287*x^7 -2144*x^6 -2431*x^5 -2144*x^4 -287*x^3 -135*x^2 -17*x -16) / ((x^4 -17*x^2 +1)*(x^8 +17*x^6 +288*x^4 +17*x^2 +1)). - Colin Barker, Nov 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[285], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041537.

Sequence in context: A217844 A041532 A041534 * A041538 A033052 A041540

Adjacent sequences:  A041533 A041534 A041535 * A041537 A041538 A041539

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 25 22:44 EST 2018. Contains 299662 sequences. (Running on oeis4.)