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A042700 Numerators of continued fraction convergents to sqrt(880). 2
29, 30, 59, 89, 5221, 5310, 10531, 15841, 929309, 945150, 1874459, 2819609, 165411781, 168231390, 333643171, 501874561, 29442367709, 29944242270, 59386609979, 89330852249, 5240576040421, 5329906892670 (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 (0,0,0,178,0,0,0,-1).

FORMULA

G.f.: (29 +30*x +59*x^2 +89*x^3 +59*x^4 -30*x^5 +29*x^6 -x^7)/(1 -178*x^4 +x^8). - Vincenzo Librandi, Dec 02 2013

a(n) = 178*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 02 2013

MATHEMATICA

Numerator[Convergents[Sqrt[880], 30] (* or *) CoefficientList[Series[(29 + 30 x + 59 x^2 + 89 x^3 + 59 x^4 - 30 x^5 + 29 x^6 - x^7)/(1 - 178 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 02 2013 *)

PROG

(MAGMA) I:=[29, 30, 59, 89, 5221, 5310, 10531, 15841]; [n le 8 select I[n] else 178*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 02 2013

CROSSREFS

Cf. A042701.

Sequence in context: A042694 A042696 A042698 * A042690 A042692 A042688

Adjacent sequences:  A042697 A042698 A042699 * A042701 A042702 A042703

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 18 17:51 EDT 2019. Contains 321292 sequences. (Running on oeis4.)