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A041671 Denominators of continued fraction convergents to sqrt(354). 2
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 (list; graph; refs; listen; history; text; internal format)
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: A119503 A048655 A181896 * 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

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Last modified June 24 04:38 EDT 2019. Contains 324318 sequences. (Running on oeis4.)