A042021 Denominators of continued fraction convergents to sqrt(534).

1, 9, 37, 46, 83, 1872, 1955, 3827, 17263, 159194, 7340187, 66220877, 272223695, 338444572, 610668267, 13773146446, 14383814713, 28156961159, 127011659349, 1171261895300, 54005058843149, 487216791483641, 2002872224777713, 2490089016261354, 4492961241039067

Offset

0,2

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^18 -9*x^17 +37*x^16 -46*x^15 +83*x^14 -1872*x^13 +1955*x^12 -3827*x^11 +17263*x^10 -159194*x^9 -17263*x^8 -3827*x^7 -1955*x^6 -1872*x^5 -83*x^4 -46*x^3 -37*x^2 -9*x -1) / (x^20 -7357450*x^10 +1). - Colin Barker, Nov 29 2013

Mathematica

Denominator[Convergents[Sqrt[534], 30]] (* Vincenzo Librandi, Jan 12 2014 *)

Crossrefs

Cf. A042020, A040510.

Sequence in context: A337238 A273594 A041150 * A372752 A137184 A153244

Adjacent sequences: A042018 A042019 A042020 * A042022 A042023 A042024

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 29 2013

Status

approved