The On-Line Encyclopedia of Integer Sequences (OEIS)

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A041128

Numerators of continued fraction convergents to sqrt(73).
(history; published version)

#17 by Harvey P. Dale at Wed Jul 12 11:34:49 EDT 2023

STATUS

editing

approved

#16 by Harvey P. Dale at Wed Jul 12 11:34:47 EDT 2023

MATHEMATICA

LinearRecurrence[{0, 0, 0, 0, 0, 0, 2136, 0, 0, 0, 0, 0, 0, 1}, {8, 9, 17, 94, 487, 581, 1068, 17669, 18737, 36406, 200767, 1040241, 1241008, 2281249}, 30] (* Harvey P. Dale, Jul 12 2023 *)

STATUS

approved

editing

#15 by Charles R Greathouse IV at Sat Jun 13 00:49:21 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,2136,0,0,0,0,0,0,1).

Discussion

Sat Jun 13

00:49

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

#14 by Charles R Greathouse IV at Fri Jun 12 15:23:59 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,2136,0,0,0,0,0,0,1).

Discussion

Fri Jun 12

15:23

OEIS Server: https://oeis.org/edit/global/2436

#13 by Bruno Berselli at Fri Nov 08 08:40:07 EST 2013

STATUS

proposed

approved

#12 by Colin Barker at Fri Nov 08 08:39:52 EST 2013

STATUS

editing

proposed

#11 by Colin Barker at Fri Nov 08 08:39:38 EST 2013

DATA

8, 9, 17, 94, 487, 581, 1068, 17669, 18737, 36406, 200767, 1040241, 1241008, 2281249, 37740992, 40022241, 77763233, 428838406, 2221955263, 2650793669, 4872748932, 80614776581, 85487525513, 166102302094, 915999035983, 4746097482009, 5662096517992

LINKS

<a href="/index/Rea#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,2136,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^13 -8*x^12 +9*x^11 -17*x^10 +94*x^9 -487*x^8 +581*x^7 +1068*x^6 +581*x^5 +487*x^4 +94*x^3 +17*x^2 +9*x +8) / (x^14 +2136*x^7 -1). - Colin Barker, Nov 08 2013

EXTENSIONS

More terms from Colin Barker, Nov 08 2013

STATUS

approved

editing

#10 by Bruno Berselli at Tue Oct 29 06:45:36 EDT 2013

STATUS

reviewed

approved

#9 by Michel Marcus at Tue Oct 29 06:23:38 EDT 2013

STATUS

proposed

reviewed

#8 by Vincenzo Librandi at Tue Oct 29 04:46:43 EDT 2013

STATUS

editing

proposed

Discussion

Tue Oct 29

06:23

Michel Marcus: Thanks for the decimal expansion xrefs.