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A042828 Numerators of continued fraction convergents to sqrt(945). 2
30, 31, 92, 123, 830, 10083, 61328, 71411, 204150, 275561, 16737810, 17013371, 50764552, 67777923, 457432090, 5556963003, 33799210108, 39356173111, 112511556330, 151867729441, 9224575322790, 9376443052231, 27977461427252, 37353904479483, 252100888304150 (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 (0,0,0,0,0,0,0,0,0,551122,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -30*x^18 +31*x^17 -92*x^16 +123*x^15 -830*x^14 +10083*x^13 -61328*x^12 +71411*x^11 -204150*x^10 -275561*x^9 -204150*x^8 -71411*x^7 -61328*x^6 -10083*x^5 -830*x^4 -123*x^3 -92*x^2 -31*x -30) / (x^20 -551122*x^10 +1). - Colin Barker, Dec 24 2013

MATHEMATICA

Numerator[Convergents[Sqrt[945], 30]] (* Vincenzo Librandi, Dec 06 2013 *)

CROSSREFS

Cf. A042829, A040914.

Sequence in context: A042802 A042800 A042826 * A042824 A042822 A042820

Adjacent sequences:  A042825 A042826 A042827 * A042829 A042830 A042831

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 24 2013

STATUS

approved

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Last modified February 22 09:55 EST 2019. Contains 320390 sequences. (Running on oeis4.)