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A041884 Numerators of continued fraction convergents to sqrt(464). 2
21, 22, 43, 237, 280, 517, 797, 4502, 5299, 9801, 416941, 426742, 843683, 4645157, 5488840, 10133997, 15622837, 88248182, 103871019, 192119201, 8172877461, 8364996662, 16537874123, 91054367277, 107592241400, 198646608677, 306238850077, 1729840859062 (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, 19602, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -21*x^18 +22*x^17 -43*x^16 +237*x^15 -280*x^14 +517*x^13 -797*x^12 +4502*x^11 -5299*x^10 -9801*x^9 -5299*x^8 -4502*x^7 -797*x^6 -517*x^5 -280*x^4 -237*x^3 -43*x^2 -22*x -21) / ((x^10 -140*x^5 -1)*(x^10 +140*x^5 -1)). - Colin Barker, Nov 26 2013

MATHEMATICA

Numerator[Convergents[Sqrt[464], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

CROSSREFS

Cf. A041885, A040442.

Sequence in context: A041894 A041888 A041886 * A041882 A286762 A301661

Adjacent sequences:  A041881 A041882 A041883 * A041885 A041886 A041887

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 26 2013

STATUS

approved

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Last modified October 21 14:41 EDT 2019. Contains 328301 sequences. (Running on oeis4.)