A041464 Numerators of continued fraction convergents to sqrt(248).

15, 16, 47, 63, 1937, 2000, 5937, 7937, 244047, 251984, 748015, 999999, 30747985, 31747984, 94243953, 125991937, 3874002063, 3999994000, 11873990063, 15873984063, 488093511953, 503967496016, 1496028503985, 1999996000001, 61495908504015, 63495904504016

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^7-15*x^6+16*x^5-47*x^4-63*x^3-47*x^2-16*x-15) / (x^8-126*x^4+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[248], 30]] (* Vincenzo Librandi, Nov 02 2013 *)
LinearRecurrence[{0, 0, 0, 126, 0, 0, 0, -1}, {15, 16, 47, 63, 1937, 2000, 5937, 7937}, 30] (* Harvey P. Dale, Oct 24 2020 *)

Crossrefs

Cf. A041465.

Sequence in context: A296863 A269459 A041462 * A041460 A041466 A332008

Adjacent sequences: A041461 A041462 A041463 * A041465 A041466 A041467

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved