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A041203 Denominators of continued fraction convergents to sqrt(112). 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 25 14:51 EDT 2022. Contains 354071 sequences. (Running on oeis4.)