login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041652 Numerators of continued fraction convergents to sqrt(345). 2
18, 19, 37, 93, 130, 873, 1003, 2879, 3882, 6761, 247278, 254039, 501317, 1256673, 1757990, 11804613, 13562603, 38929819, 52492422, 91422241, 3343693098, 3435115339, 6778808437, 16992732213, 23771540650, 159621976113, 183393516763, 526409009639, 709802526402 (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, 0, 0, 13522, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -18*x^18 +19*x^17 -37*x^16 +93*x^15 -130*x^14 +873*x^13 -1003*x^12 +2879*x^11 -3882*x^10 -6761*x^9 -3882*x^8 -2879*x^7 -1003*x^6 -873*x^5 -130*x^4 -93*x^3 -37*x^2 -19*x -18) / (x^20 -13522*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[345], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

CROSSREFS

Cf. A041653.

Sequence in context: A041656 A042507 A041658 * A041650 A041648 A034122

Adjacent sequences:  A041649 A041650 A041651 * A041653 A041654 A041655

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 24 13:17 EDT 2019. Contains 324325 sequences. (Running on oeis4.)