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A041886 Numerators of continued fraction convergents to sqrt(465). 2
21, 22, 43, 151, 345, 841, 2027, 6922, 8949, 15871, 675531, 691402, 1366933, 4792201, 10951335, 26694871, 64341077, 219718102, 284059179, 503777281, 21442704981, 21946482262, 43389187243, 152114043991, 347617275225, 847348594441, 2042314464107, 6974291986762 (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 (0,0,0,0,0,0,0,0,0,31742,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -21*x^18 +22*x^17 -43*x^16 +151*x^15 -345*x^14 +841*x^13 -2027*x^12 +6922*x^11 -8949*x^10 -15871*x^9 -8949*x^8 -6922*x^7 -2027*x^6 -841*x^5 -345*x^4 -151*x^3 -43*x^2 -22*x -21) / (x^20 -31742*x^10 +1). - Colin Barker, Nov 26 2013

MATHEMATICA

Numerator[Convergents[Sqrt[465], 30]] (* Harvey P. Dale, Apr 22 2013 *)

CROSSREFS

Cf. A041887, A040443.

Sequence in context: A041892 A041894 A041888 * A041884 A041882 A286762

Adjacent sequences:  A041883 A041884 A041885 * A041887 A041888 A041889

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 June 19 23:01 EDT 2019. Contains 324222 sequences. (Running on oeis4.)