A042529 Denominators of continued fraction convergents to sqrt(793).

1, 6, 25, 156, 8761, 52722, 219649, 1370616, 76974145, 463215486, 1929836089, 12042232020, 676294829209, 4069811207274, 16955539658305, 105803049157104, 5941926292456129, 35757360803893878, 148971369508031641, 929585577852083724, 52205763729224720185

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,8786,0,0,0,-1).

Formula

G.f.: -(x^2-6*x-1)*(x^4+26*x^2+1) / (x^8-8786*x^4+1). - Colin Barker, Dec 17 2013

Mathematica

Denominator[Convergents[Sqrt[793], 30]] (* Vincenzo Librandi, Jan 23 2014 *)
LinearRecurrence[{0, 0, 0, 8786, 0, 0, 0, -1}, {1, 6, 25, 156, 8761, 52722, 219649, 1370616}, 30] (* Harvey P. Dale, Aug 08 2023 *)

Crossrefs

Cf. A042528, A040764.

Sequence in context: A242858 A200375 A009464 * A323132 A357032 A183249

Adjacent sequences: A042526 A042527 A042528 * A042530 A042531 A042532

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 17 2013

Status

approved