login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042366 Numerators of continued fraction convergents to sqrt(710). 2
26, 27, 53, 80, 373, 453, 826, 1279, 67334, 68613, 135947, 204560, 954187, 1158747, 2112934, 3271681, 172240346, 175512027, 347752373, 523264400, 2440809973, 2964074373, 5404884346, 8368958719 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 2558, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: (26 +27*x +53*x^2 +80*x^3 +373*x^4 +453*x^5 +826*x^6 +1279*x^7 +826*x^8 -453*x^9 +373*x^10 -80*x^11 +53*x^12 -27*x^13 +26*x^14 -x^15)/(1 -2558*x^8 +x^16). - Vincenzo Librandi, Nov 22 2013
a(n) = 2558*a(n-8) - a(n-16). - Vincenzo Librandi, Nov 22 2013
MATHEMATICA
Numerator[Convergents[Sqrt[710], 30]] (* or *) CoefficientList[Series[(26 + 27 x + 53 x^2 + 80 x^3 + 373 x^4 + 453 x^5 + 826 x^6 + 1279 x^7 + 826 x^8 - 453 x^9 + 373 x^10 - 80 x^11 + 53 x^12 - 27 x^13 + 26 x^14 - x^15)/(1 - 2558 x^8 + x^16), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 22 2013 *)
PROG
(Magma) I:=[26, 27, 53, 80, 373, 453, 826, 1279, 67334, 68613, 135947, 204560, 954187, 1158747, 2112934, 3271681]; [n le 16 select I[n] else 2558*Self(n-8)-Self(n-16): n in [1..30]]; // Vincenzo Librandi, Nov 22 2013
CROSSREFS
Cf. A042367.
Sequence in context: A022396 A042362 A042364 * A042368 A042360 A042358
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)