A042377 Denominators of continued fraction convergents to sqrt(715).

1, 1, 3, 4, 23, 119, 618, 737, 2092, 2829, 149200, 152029, 453258, 605287, 3479693, 18003752, 93498453, 111502205, 316502863, 428005068, 22572766399, 23000771467, 68574309333, 91575080800, 526449713333, 2723823647465, 14145567950658, 16869391598123

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,151292,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -x^17 +3*x^16 -4*x^15 +23*x^14 -119*x^13 +618*x^12 -737*x^11 +2092*x^10 -2829*x^9 -2092*x^8 -737*x^7 -618*x^6 -119*x^5 -23*x^4 -4*x^3 -3*x^2 -x -1) / (x^20 -151292*x^10 +1). - Colin Barker, Dec 10 2013

Mathematica

Denominator[Convergents[Sqrt[715], 30]] (* Vincenzo Librandi, Jan 21 2014 *)

Crossrefs

Cf. A042376, A040688.

Sequence in context: A343402 A030980 A041861 * A276815 A223526 A032831

Adjacent sequences: A042374 A042375 A042376 * A042378 A042379 A042380

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 10 2013

Status

approved