The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A041960 Numerators of continued fraction convergents to sqrt(503). 2
 22, 45, 112, 157, 3409, 3566, 10541, 24648, 1095053, 2214754, 5524561, 7739315, 168050176, 175789491, 519629158, 1215047807, 53981732666, 109178513139, 272338758944, 381517272083, 8284201472687, 8665718744770, 25615638962227, 59896996669224, 2661083492408083 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,49296,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^15 -22*x^14 +45*x^13 -112*x^12 +157*x^11 -3409*x^10 +3566*x^9 -10541*x^8 -24648*x^7 -10541*x^6 -3566*x^5 -3409*x^4 -157*x^3 -112*x^2 -45*x -22) / (x^16 -49296*x^8 +1). - Colin Barker, Nov 28 2013 MATHEMATICA Numerator[Convergents[Sqrt[503], 30]] (* Vincenzo Librandi, Nov 12 2013 * CROSSREFS Cf. A041961, A040480. Sequence in context: A195149 A291557 A165309 * A041958 A041962 A041964 Adjacent sequences:  A041957 A041958 A041959 * A041961 A041962 A041963 KEYWORD nonn,cofr,frac,easy,less AUTHOR EXTENSIONS More terms from Colin Barker, Nov 28 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 2 19:57 EST 2021. Contains 349445 sequences. (Running on oeis4.)