A041665 Denominators of continued fraction convergents to sqrt(351).

1, 1, 3, 4, 15, 34, 83, 200, 683, 883, 2449, 3332, 122401, 125733, 373867, 499600, 1872667, 4244934, 10362535, 24970004, 85272547, 110242551, 305757649, 416000200, 15281764849, 15697765049, 46677294947, 62375059996, 233802474935, 529980009866

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,124850,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^22 -x^21 +3*x^20 -4*x^19 +15*x^18 -34*x^17 +83*x^16 -200*x^15 +683*x^14 -883*x^13 +2449*x^12 -3332*x^11 -2449*x^10 -883*x^9 -683*x^8 -200*x^7 -83*x^6 -34*x^5 -15*x^4 -4*x^3 -3*x^2 -x -1) / ((x^8 -50*x^4 +1)*(x^16 +50*x^12 +2499*x^8 +50*x^4 +1)). - Colin Barker, Nov 21 2013

a(n) = 124850*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[351], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

Crossrefs

Cf. A041664, A040332.

Sequence in context: A205485 A344261 A055486 * A052133 A332051 A209479

Adjacent sequences: A041662 A041663 A041664 * A041666 A041667 A041668

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 21 2013

Status

approved