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A042725 Denominators of continued fraction convergents to sqrt(892). 2
1, 1, 7, 15, 217, 449, 2911, 3360, 197791, 201151, 1404697, 3010545, 43552327, 90115199, 584243521, 674358720, 39697049281, 40371408001, 281925497287, 604222402575, 8741039133337, 18086300669249, 117258843148831, 135345143818080, 7967277184597471 (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, 200702, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -x^13 +7*x^12 -15*x^11 +217*x^10 -449*x^9 +2911*x^8 -3360*x^7 -2911*x^6 -449*x^5 -217*x^4 -15*x^3 -7*x^2 -x -1) / ((x^8 -448*x^4 +1)*(x^8 +448*x^4 +1)). - Colin Barker, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[892], 30]] (* Vincenzo Librandi, Jan 27 2014 *)

CROSSREFS

Cf. A042724, A040862.

Sequence in context: A068366 A156499 A137881 * A041096 A248275 A007541

Adjacent sequences:  A042722 A042723 A042724 * A042726 A042727 A042728

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 22 2013

STATUS

approved

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Last modified June 22 16:35 EDT 2021. Contains 345388 sequences. (Running on oeis4.)