cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A041128 Numerators of continued fraction convergents to sqrt(73).

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%I A041128 #19 Jul 09 2025 00:18:37
%S A041128 8,9,17,94,487,581,1068,17669,18737,36406,200767,1040241,1241008,
%T A041128 2281249,37740992,40022241,77763233,428838406,2221955263,2650793669,
%U A041128 4872748932,80614776581,85487525513,166102302094,915999035983,4746097482009,5662096517992
%N A041128 Numerators of continued fraction convergents to sqrt(73).
%H A041128 Vincenzo Librandi, <a href="/A041128/b041128.txt">Table of n, a(n) for n = 0..200</a>
%H A041128 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,2136,0,0,0,0,0,0,1).
%F A041128 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
%t A041128 Numerator[Convergents[Sqrt[73], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t A041128 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 *)
%Y A041128 Cf. A010525, A041129.
%K A041128 nonn,cofr,frac,easy
%O A041128 0,1
%A A041128 _N. J. A. Sloane_
%E A041128 More terms from _Colin Barker_, Nov 08 2013