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

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