A041108 Numerators of continued fraction convergents to sqrt(62).

7, 8, 55, 63, 937, 1000, 6937, 7937, 118055, 125992, 874007, 999999, 14873993, 15873992, 110117945, 125991937, 1874005063, 1999997000, 13873987063, 15873984063, 236109763945, 251983748008, 1748012251993, 1999996000001, 29747956252007, 31747952252008

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,126,0,0,0,-1).

Formula

G.f.: -(x^7-7*x^6+8*x^5-55*x^4-63*x^3-55*x^2-8*x-7) / (x^8-126*x^4+1). - Colin Barker, Nov 05 2013

Mathematica

Numerator[Convergents[Sqrt[62], 30]] (* Harvey P. Dale, Aug 11 2011 *)

Crossrefs

Cf. A010515, A041109.

Sequence in context: A094556 A249329 A041023 * A248276 A137145 A251626

Adjacent sequences: A041105 A041106 A041107 * A041109 A041110 A041111

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 05 2013

Status

approved