A042020 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A042020

Numerators of continued fraction convergents to sqrt(534).

23, 208, 855, 1063, 1918, 43259, 45177, 88436, 398921, 3678725, 169620271, 1530261164, 6290664927, 7820926091, 14111591018, 318275928487, 332387519505, 650663447992, 2935041311473, 27066035251249, 1247972662868927, 11258820001071592, 46283252667155295

(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 (0,0,0,0,0,0,0,0,0,7357450,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -23*x^18 +208*x^17 -855*x^16 +1063*x^15 -1918*x^14 +43259*x^13 -45177*x^12 +88436*x^11 -398921*x^10 -3678725*x^9 -398921*x^8 -88436*x^7 -45177*x^6 -43259*x^5 -1918*x^4 -1063*x^3 -855*x^2 -208*x -23) / (x^20 -7357450*x^10 +1). - Colin Barker, Nov 29 2013

MATHEMATICA

Numerator[Convergents[Sqrt[534], 30]] (* Vincenzo Librandi, Nov 13 2013 *)

CROSSREFS

Cf. A042021, A040510.

Sequence in context: A128334 A107956 A022683 * A263521 A084428 A322287

Adjacent sequences: A042017 A042018 A042019 * A042021 A042022 A042023

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 2013

STATUS

approved