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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041994 Numerators of continued fraction convergents to sqrt(520). 2
22, 23, 114, 1277, 5222, 6499, 291178, 297677, 1481886, 16598423, 67875578, 84474001, 3784731622, 3869205623, 19261554114, 215746300877, 882246757622, 1097993058499, 49193941331578, 50291934390077, 250361678891886, 2804270402200823, 11467443287695178 (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, 12998, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11 -22*x^10 +23*x^9 -114*x^8 +1277*x^7 -5222*x^6 -6499*x^5 -5222*x^4 -1277*x^3 -114*x^2 -23*x -22) / ((x^6 -114*x^3 -1)*(x^6 +114*x^3 -1)). - Colin Barker, Nov 28 2013

MATHEMATICA

Numerator[Convergents[Sqrt[520], 30]] (* Vincenzo Librandi, Nov 13 2013 *)

CROSSREFS

Cf. A041995, A040497.

Sequence in context: A041992 A041990 A041996 * A041998 A042000 A042002

Adjacent sequences:  A041991 A041992 A041993 * A041995 A041996 A041997

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 4 21:21 EDT 2021. Contains 346455 sequences. (Running on oeis4.)