A041671 Denominators of continued fraction convergents to sqrt(354).

1, 1, 5, 11, 27, 497, 1021, 2539, 11177, 13716, 504953, 518669, 2579629, 5677927, 13935483, 256516621, 526968725, 1310454071, 5768785009, 7079239080, 260621391889, 267700630969, 1331423915765, 2930548462499, 7192520840763, 132395923596233

Offset

0,3

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, 516130, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +5*x^16 -11*x^15 +27*x^14 -497*x^13 +1021*x^12 -2539*x^11 +11177*x^10 -13716*x^9 -11177*x^8 -2539*x^7 -1021*x^6 -497*x^5 -27*x^4 -11*x^3 -5*x^2 -x -1) / (x^20 -516130*x^10 +1). - Colin Barker, Nov 21 2013

a(n) = 516130*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[354], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

Crossrefs

Cf. A041670, A040335.

Sequence in context: A048655 A181896 A374653 * A215221 A203160 A095053

Adjacent sequences: A041668 A041669 A041670 * A041672 A041673 A041674

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 21 2013

Status

approved