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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041772 Numerators of continued fraction convergents to sqrt(407). 2
20, 101, 121, 343, 464, 2663, 106984, 537583, 644567, 1826717, 2471284, 14183137, 569796764, 2863166957, 3432963721, 9729094399, 13162058120, 75539384999, 3034737458080, 15249226675399, 18283964133479, 51817154942357, 70101119075836, 402322750321537 (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, 5326, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11 -20*x^10 +101*x^9 -121*x^8 +343*x^7 -464*x^6 -2663*x^5 -464*x^4 -343*x^3 -121*x^2 -101*x -20) / (x^12 -5326*x^6 +1). - Colin Barker, Nov 24 2013

MATHEMATICA

Numerator[Convergents[Sqrt[407], 30]] (* Vincenzo Librandi, Nov 08 2013 *)

CROSSREFS

Cf. A041773, A040386.

Sequence in context: A240437 A174078 A239857 * A043462 A044271 A044652

Adjacent sequences:  A041769 A041770 A041771 * A041773 A041774 A041775

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 24 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 December 2 23:09 EST 2020. Contains 338898 sequences. (Running on oeis4.)