This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A041939 Denominators of continued fraction convergents to sqrt(492). 2
 1, 5, 6, 11, 116, 127, 243, 1342, 59291, 297797, 357088, 654885, 6905938, 7560823, 14466761, 79894628, 3529830393, 17729046593, 21258876986, 38987923579, 411138112776, 450126036355, 861264149131, 4756446782010, 210144922557571, 1055481059569865 (list; graph; refs; listen; history; text; internal format)
 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, 0, 0, 0, 0, 59534, 0, 0, 0, 0, 0, 0, 0, -1). FORMULA G.f.: -(x^14 -5*x^13 +6*x^12 -11*x^11 +116*x^10 -127*x^9 +243*x^8 -1342*x^7 -243*x^6 -127*x^5 -116*x^4 -11*x^3 -6*x^2 -5*x -1) / ((x^8 -244*x^4 +1)*(x^8 +244*x^4 +1)). - Colin Barker, Nov 27 2013 a(n) = 59534*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 27 2013 MATHEMATICA Denominator/@Convergents[Sqrt[492], 40] (* Harvey P. Dale, Jun 22 2011 *) CoefficientList[Series[-(x^14 - 5 x^13 + 6 x^12 - 11 x^11 + 116 x^10 - 127 x^9 + 243 x^8 - 1342 x^7 - 243 x^6 - 127 x^5 - 116 x^4 - 11 x^3 - 6 x^2 - 5 x - 1)/((x^8 - 244 x^4 + 1) (x^8 + 244 x^4 + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 27 2013 *) PROG (MAGMA) I:=[1, 5, 6, 11, 116, 127, 243, 1342, 59291, 297797, 357088, 654885, 6905938, 7560823, 14466761, 79894628]; [n le 16 select I[n] else 59534*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 27 2013 CROSSREFS Cf. A041938, A040469. Sequence in context: A041227 A042183 A328544 * A177714 A273158 A099641 Adjacent sequences:  A041936 A041937 A041938 * A041940 A041941 A041942 KEYWORD nonn,frac,easy AUTHOR EXTENSIONS More terms from Colin Barker, Nov 27 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 15 15:01 EST 2019. Contains 329999 sequences. (Running on oeis4.)