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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042260 Numerators of continued fraction convergents to sqrt(656). 2
25, 26, 51, 77, 128, 333, 461, 794, 1255, 2049, 103705, 105754, 209459, 315213, 524672, 1364557, 1889229, 3253786, 5143015, 8396801, 424983065, 433379866, 858362931, 1291742797, 2150105728, 5591954253, 7742059981, 13334014234, 21076074215, 34410088449 (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 (0,0,0,0,0,0,0,0,0,4098,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -25*x^18 +26*x^17 -51*x^16 +77*x^15 -128*x^14 +333*x^13 -461*x^12 +794*x^11 -1255*x^10 -2049*x^9 -1255*x^8 -794*x^7 -461*x^6 -333*x^5 -128*x^4 -77*x^3 -51*x^2 -26*x -25) / ((x^10 -64*x^5 -1)*(x^10 +64*x^5 -1)). - Colin Barker, Dec 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[656], 30]] (* Harvey P. Dale, May 22 2013 *)

CROSSREFS

Cf. A042261, A040630.

Sequence in context: A045567 A141278 A022395 * A042262 A042264 A274063

Adjacent sequences:  A042257 A042258 A042259 * A042261 A042262 A042263

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 06 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 February 15 20:07 EST 2019. Contains 320138 sequences. (Running on oeis4.)