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!)
A042132 Numerators of continued fraction convergents to sqrt(591). 2
24, 73, 316, 389, 705, 5324, 6029, 11353, 51441, 165676, 8003889, 24177343, 104713261, 128890604, 233603865, 1764117659, 1997721524, 3761839183, 17045078256, 54897073951, 2652104627904, 8011210957663, 34696948458556, 42708159416219, 77405107874775 (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 (0,0,0,0,0,0,0,0,0,331352,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: (24 +73*x +316*x^2 +389*x^3 +705*x^4 +5324*x^5 +6029*x^6 +11353*x^7 +51441*x^8 +165676*x^9 +51441*x^10 -11353*x^11 +6029*x^12 -5324*x^13 +705*x^14 -389*x^15 +316*x^16 -73*x^17 +24*x^18 -x^19)/(1 -331352*x^10 +x^20). [Bruno Berselli, Nov 17 2013]

a(n) = 331352*a(n-10) - a(n-20) for n>19. [Bruno Berselli, Nov 17 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[591], 30]] (* Vincenzo Librandi, Nov 17 2013 *)

CoefficientList[Series[(24 + 73 x + 316 x^2 + 389 x^3 + 705 x^4 + 5324 x^5 + 6029 x^6 + 11353 x^7 + 51441 x^8 + 165676 x^9 + 51441 x^10 - 11353 x^11 + 6029 x^12 - 5324 x^13 + 705 x^14 - 389 x^15 + 316 x^16 - 73 x^17 + 24 x^18 - x^19)/(1 - 331352 x^10 + x^20), {x, 0, 30}], x] (* Bruno Berselli, Nov 17 2013 *)

CROSSREFS

Cf. A042133.

Sequence in context: A044543 A161587 A042130 * A042134 A045249 A185940

Adjacent sequences:  A042129 A042130 A042131 * A042133 A042134 A042135

KEYWORD

nonn,cofr,frac,easy,less

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 5 07:54 EDT 2021. Contains 346464 sequences. (Running on oeis4.)