A042562 Numerators of continued fraction convergents to sqrt(810).

28, 57, 313, 370, 1793, 2163, 12608, 27379, 1545832, 3119043, 17141047, 20260090, 98181407, 118441497, 690388892, 1499219281, 84646668628, 170792556537, 938609451313, 1109402007850, 5376217482713, 6485619490563, 37804314935528, 82094249361619

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