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 A265072 #16 Oct 07 2022 11:59:27 %S A265072 1,3,6,10,16,25,38,57,86,130,196,295,444,669,1008,1518,2286,3443,5186, %T A265072 7811,11764,17718,26686,40193,60536,91175,137322,206826,311508,469173, %U A265072 706638,1064293,1602970,2414290,3636248,5476683,8248628,12423553,18711556,28182142,42446130,63929631,96286698,145020831,218421048 %N A265072 Coordination sequence for (3,3,5) tiling of hyperbolic plane. %H A265072 G. C. Greubel, <a href="/A265072/b265072.txt">Table of n, a(n) for n = 0..1000</a> %H A265072 J. W. Cannon, P. Wagreich, <a href="http://dx.doi.org/10.1007/BF01444714">Growth functions of surface groups</a>, Mathematische Annalen, 1992, Volume 293, pp. 239-257. See Prop. 3.1. %H A265072 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,0,1,-1). %F A265072 G.f.: (x^2+x+1)*(x^4+x^3+x^2+x+1)/(x^6-x^5-x^3-x+1). %t A265072 CoefficientList[Series[(x^2 + x + 1) (x^4 + x^3 + x^2 + x + 1)/(x^6 - x^5 - x^3 - x + 1), {x, 0, 60}], x] (* _Vincenzo Librandi_, Dec 30 2015 *) %t A265072 LinearRecurrence[{1,0,1,0,1,-1},{1,3,6,10,16,25,38},50] (* _Harvey P. Dale_, Oct 07 2022 *) %o A265072 (PARI) x='x+O('x^50); Vec((x^2+x+1)*(x^4+x^3+x^2+x+1)/(x^6-x^5-x^3-x+1)) \\ _G. C. Greubel_, Aug 07 2017 %Y A265072 Coordination sequences for triangular tilings of hyperbolic space: A001630, A007283, A054886, A078042, A096231, A163876, A179070, A265057, A265058, A265059, A265060, A265061, A265062, A265063, A265064, A265065, A265066, A265067, A265068, A265069, A265070, A265071, A265072, A265073, A265074, A265075, A265076, A265077. %K A265072 nonn,easy %O A265072 0,2 %A A265072 _N. J. A. Sloane_, Dec 29 2015