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!)
A041430 Numerators of continued fraction convergents to sqrt(231). 2
15, 76, 2295, 11551, 348825, 1755676, 53019105, 266851201, 8058555135, 40559626876, 1224847361415, 6164796433951, 186168740379945, 937008498333676, 28296423690390225, 142419126950284801, 4300870232198934255 (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 (0,152,0,-1).

FORMULA

a(n) = 152*a(n-2)-a(n-4). G.f.: -(x^3 - 15*x^2 - 76*x - 15)/(x^4-152*x^2+1). [Colin Barker, Jul 15 2012]

MATHEMATICA

CoefficientList[Series[- (x^3 - 15 x^2 - 76 x - 15)/(x^4 - 152 x^2 + 1), {x, 0, 20}], x] (* Vincenzo Librandi, Oct 27 2013 *)

CROSSREFS

Cf. A041431.

Sequence in context: A212241 A000477 A302376 * A156941 A205440 A051423

Adjacent sequences: A041427 A041428 A041429 * A041431 A041432 A041433

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

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 January 27 10:15 EST 2023. Contains 359838 sequences. (Running on oeis4.)