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A041665 Denominators of continued fraction convergents to sqrt(351). 2
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 (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 (0,0,0,0,0,0,0,0,0,0,0,124850,0,0,0,0,0,0,0,0,0,0,0,-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: A135100 A205485 A055486 * A052133 A209479 A209338

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

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Last modified October 16 13:51 EDT 2019. Contains 328093 sequences. (Running on oeis4.)