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.
%I A041077 #24 Jul 09 2025 00:14:15
%S A041077 1,1,3,7,17,24,305,329,963,2255,5473,7728,98209,105937,310083,726103,
%T A041077 1762289,2488392,31622993,34111385,99845763,233802911,567451585,
%U A041077 801254496,10182505537,10983760033,32150025603,75283811239,182717648081,258001459320,3278735159921
%N A041077 Denominators of continued fraction convergents to sqrt(45).
%H A041077 Vincenzo Librandi, <a href="/A041077/b041077.txt">Table of n, a(n) for n = 0..200</a>
%H A041077 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,322,0,0,0,0,0,-1).
%F A041077 a(n) = 322*a(n-6)-a(n-12). G.f.: -(x^10-x^9+3*x^8-7*x^7+17*x^6-24*x^5-17*x^4-7*x^3-3*x^2-x-1)/((x^2-3*x+1)*(x^2+3*x+1)*(x^4-3*x^3+8*x^2-3*x+1)*(x^4+3*x^3+8*x^2+3*x+1)). [_Colin Barker_, Jul 18 2012]
%t A041077 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[45],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011*)
%t A041077 Denominator[Convergents[Sqrt[45], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)
%t A041077 LinearRecurrence[{0,0,0,0,0,322,0,0,0,0,0,-1},{1,1,3,7,17,24,305,329,963,2255,5473,7728},40] (* _Harvey P. Dale_, Jun 11 2022 *)
%Y A041077 Cf. A010499, A041076.
%K A041077 nonn,cofr,frac,easy
%O A041077 0,3
%A A041077 _N. J. A. Sloane_
%E A041077 More terms from _Vincenzo Librandi_, Oct 24 2013