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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

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).

Crossrefs

Cf. A041202.

Programs

Mathematica

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

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]