A041203 Denominators of continued fraction convergents to sqrt(112).

1, 1, 2, 5, 7, 12, 247, 259, 506, 1271, 1777, 3048, 62737, 65785, 128522, 322829, 451351, 774180, 15934951, 16709131, 32644082, 81997295, 114641377, 196638672, 4047414817, 4244053489, 8291468306, 20826990101

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,254,0,0,0,0,0,-1).

Formula

a(n) = 254*a(n-6)-a(n-12). G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-6*x^3-1)/((x^6-16*x^3+1)*(x^6+16*x^3+1)). [Colin Barker, Jul 19 2012]

Mathematica

Denominator[Convergents[Sqrt[112], 30]] (* Vincenzo Librandi, Oct 24 2013 *)

Crossrefs

Cf. A041202.

Sequence in context: A295334 A041033 A134472 * A041517 A041975 A042577

Adjacent sequences: A041200 A041201 A041202 * A041204 A041205 A041206

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved