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!)
A042056 Numerators of continued fraction convergents to sqrt(552). 2
23, 47, 2185, 4417, 205367, 415151, 19302313, 39019777, 1814212055, 3667443887, 170516630857, 344700705601, 16026749088503, 32398198882607, 1506343897688425, 3045085994259457, 141580299633623447, 286205685261506351 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
G.f.: (1 + x)*(23 + 24*x - x^2)/(1 - 94*x^2 + x^4). - Vincenzo Librandi, Nov 13 2013
a(n) = 94*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 14 2013
MATHEMATICA
Numerator[Convergents[Sqrt[552], 30]] (* or *) CoefficientList[Series[(1 + x) (23 + 24 x - x^2)/(1 - 94 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 14 2013 *)
LinearRecurrence[{0, 94, 0, -1}, {23, 47, 2185, 4417}, 20] (* Harvey P. Dale, Mar 13 2017 *)
PROG
(Magma) I:=[23, 47, 2185, 4417]; [n le 4 select I[n] else 94*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 14 2013
CROSSREFS
Cf. A042057.
Sequence in context: A158238 A328799 A333115 * A087807 A044100 A044481
KEYWORD
nonn,cofr,frac,easy,less
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 June 19 18:58 EDT 2024. Contains 373507 sequences. (Running on oeis4.)