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A042562 Numerators of continued fraction convergents to sqrt(810). 2
28, 57, 313, 370, 1793, 2163, 12608, 27379, 1545832, 3119043, 17141047, 20260090, 98181407, 118441497, 690388892, 1499219281, 84646668628, 170792556537, 938609451313, 1109402007850, 5376217482713, 6485619490563, 37804314935528, 82094249361619 (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, 54758, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -28*x^14 +57*x^13 -313*x^12 +370*x^11 -1793*x^10 +2163*x^9 -12608*x^8 -27379*x^7 -12608*x^6 -2163*x^5 -1793*x^4 -370*x^3 -313*x^2 -57*x -28) / ((x^8 -234*x^4 -1)*(x^8 +234*x^4 -1)). - Colin Barker, Dec 18 2013

MATHEMATICA

Numerator[Convergents[Sqrt[810], 30]] (* Vincenzo Librandi, Nov 28 2013 *)

CROSSREFS

Cf. A042563, A040781.

Sequence in context: A042558 A042556 A042560 * A042564 A219920 A219216

Adjacent sequences:  A042559 A042560 A042561 * A042563 A042564 A042565

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 18 2013

STATUS

approved

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Last modified September 17 18:29 EDT 2021. Contains 347489 sequences. (Running on oeis4.)