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 A041134 #26 Jul 09 2025 00:19:19
%S A041134 8,9,26,35,61,340,1421,7445,8866,16311,41488,57799,966272,1024071,
%T A041134 3014414,4038485,7052899,39302980,164264819,860627075,1024891894,
%U A041134 1885518969,4795929832,6681448801,111699110648
%N A041134 Numerators of continued fraction convergents to sqrt(76).
%H A041134 Vincenzo Librandi, <a href="/A041134/b041134.txt">Table of n, a(n) for n = 0..200</a>
%H A041134 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,115598,0,0,0,0,0,0,0,0,0,0,0,-1).
%F A041134 a(n) = 115598*a(n-12)-a(n-24). G.f.: -(x^23 -8*x^22 +9*x^21 -26*x^20 +35*x^19 -61*x^18 +340*x^17 -1421*x^16 +7445*x^15 -8866*x^14 +16311*x^13 -41488*x^12 -57799*x^11 -41488*x^10 -16311*x^9 -8866*x^8 -7445*x^7 -1421*x^6 -340*x^5 -61*x^4 -35*x^3 -26*x^2 -9*x-8) /( (x^12-340*x^6+1)*(x^12+340*x^6+1) ). [_Colin Barker_, Jul 19 2012]
%t A041134 Numerator[Convergents[Sqrt[76],30]] (* _Harvey P. Dale_, Aug 24 2011 *)
%t A041134 CoefficientList[Series[- (x^23 - 8 x^22 + 9 x^21 - 26 x^20 + 35 x^19 - 61 x^18 + 340 x^17 - 1421 x^16 + 7445 x^15 - 8866 x^14 + 16311 x^13 - 41488 x^12 - 57799 x^11 - 41488 x^10 - 16311 x^9 - 8866 x^8 - 7445 x^7 - 1421 x^6 - 340 x^5 - 61 x^4 - 35 x^3 - 26 x^2 - 9 x - 8)/((x^12 - 340 x^6 + 1) (x^12 + 340 x^6 + 1)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 26 2013 *)
%Y A041134 Cf. A010528, A041135.
%K A041134 nonn,cofr,frac,easy
%O A041134 0,1
%A A041134 _N. J. A. Sloane_
%E A041134 Formula corrected by _Colin Barker_, Jul 24 2012