A042676 - OEIS

A042676

Numerators of continued fraction convergents to sqrt(868).

29, 59, 383, 7336, 15055, 293381, 1775341, 3844063, 224730995, 453306053, 2944567313, 56400085000, 115744737313, 2255550093947, 13649045300995, 29553640695937, 1727760205665341, 3485074052026619, 22638204517825055, 433610959890702664, 889860124299230383

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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, 7688126, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -29*x^14 +59*x^13 -383*x^12 +7336*x^11 -15055*x^10 +293381*x^9 -1775341*x^8 -3844063*x^7 -1775341*x^6 -293381*x^5 -15055*x^4 -7336*x^3 -383*x^2 -59*x -29) / (x^16 -7688126*x^8 +1). - Colin Barker, Dec 20 2013

MATHEMATICA

Numerator[Convergents[Sqrt[868], 30]] (* Harvey P. Dale, Nov 08 2011 *)

CROSSREFS

Cf. A042677, A040838.

Sequence in context: A042674 A078948 A269263 * A124643 A042678 A042680

Adjacent sequences: A042673 A042674 A042675 * A042677 A042678 A042679

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 20 2013

STATUS

approved

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