The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A041438

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A041438

Numerators of continued fraction convergents to sqrt(235).
(history; published version)

#12 by Charles R Greathouse IV at Sat Jun 13 00:49:24 EDT 2015

LINKS

<a href="/index/Rec#order_04">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,92,0,-1).

Discussion

Sat Jun 13

00:49

OEIS Server: https://oeis.org/edit/global/2439

#11 by Bruno Berselli at Sat Nov 02 05:12:36 EDT 2013

STATUS

editing

approved

#10 by Bruno Berselli at Sat Nov 02 05:12:29 EDT 2013

MATHEMATICA

Numerator[Convergents[Sqrt[235], 30]] (* or *) CoefficientList[Series[-(x^3 - 15 x^2 - + 46 x - + 15)/( x^2 - x^4 3)/(1 - 92 x^2 + 1x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)

#9 by Bruno Berselli at Sat Nov 02 05:08:44 EDT 2013

FORMULA

G.f.; -: (x^3-15*x^2- + 46*x- + 15)/(*x^2 - x^43) / (1 - 92*x^2 +1 x^4). - Vincenzo Librandi, Nov 02 2013

MATHEMATICA

Numerator[Convergents[Sqrt[235], 30]] (* or *) CoefficientList[Series[-(x^3 - 15 x^2 - 46 x - 15)/(x^4 -92 x^2 + 1), {x, 0, 30}], x] (* or *) Numerator[Convergents[Sqrt[235], 30]] (* __Vincenzo Librandi_, Nov 02 2013 *)

Discussion

Sat Nov 02

05:09

Bruno Berselli: Ok, now it is ok.

#8 by Bruno Berselli at Sat Nov 02 05:05:03 EDT 2013

LINKS

<a href="/index/Rec#order_04">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,92,0,-1).

MATHEMATICA

LinearRecurrence[{0, 92, 0, -1}, {15, 46, 1395, 4231}, 20] (* Bruno Berselli, Nov 02 2013 *)

#7 by Bruno Berselli at Sat Nov 02 04:47:33 EDT 2013

STATUS

proposed

editing

Discussion

Sat Nov 02

05:00

Bruno Berselli: Missing signature ---

#6 by Vincenzo Librandi at Sat Nov 02 03:42:39 EDT 2013

STATUS

editing

proposed

Discussion

Sat Nov 02

04:47

Bruno Berselli: Vincenzo, your contribution is being completed.

#5 by Vincenzo Librandi at Sat Nov 02 03:41:40 EDT 2013

LINKS

Vincenzo Librandi, <a href="/A041438/b041438.txt">Table of n, a(n) for n = 0..200</a>

FORMULA

G.f.; -(x^3-15*x^2-46*x-15)/(x^4-92*x^2+1). - Vincenzo Librandi, Nov 02 2013

MATHEMATICA

CoefficientList[Series[-(x^3 - 15 x^2 - 46 x - 15)/(x^4 -92 x^2 + 1), {x, 0, 30}], x] (* or *) Numerator[Convergents[Sqrt[235], 30]] (* Vincenzo Librandi, Nov 02 2013 *)

KEYWORD

nonn,cofr,frac,easy

STATUS

approved

editing

Discussion

Sat Nov 02

03:42

Vincenzo Librandi: I would ask Mr. Berselli not to block, as usual, my contribution. If it could do would intervene subsequently also with the other sequences (more than one thousand) of the same type. Thank you.

#4 by Russ Cox at Fri Mar 30 16:48:05 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:48

OEIS Server: https://oeis.org/edit/global/110

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,cofr,easy,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).