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 A172178 #26 Apr 26 2022 03:56:21 %S A172178 1,100,199,298,397,496,595,694,793,892,991,1090,1189,1288,1387,1486, %T A172178 1585,1684,1783,1882,1981,2080,2179,2278,2377,2476,2575,2674,2773, %U A172178 2872,2971,3070,3169,3268,3367,3466,3565,3664,3763,3862,3961,4060,4159,4258 %N A172178 a(n) = 99*n + 1. %H A172178 G. C. Greubel, <a href="/A172178/b172178.txt">Table of n, a(n) for n = 0..1000</a> %H A172178 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A172178 a(n) = a(n-1) + 99 with a(1) = 1. %F A172178 a(0) = 1, a(1) = 100, a(n) = 2*a(n-1) - a(n-2). - _Harvey P. Dale_, Apr 09 2012 %F A172178 From _G. C. Greubel_, Apr 26 2022: (Start) %F A172178 G.f.: (1 + 98*x)/(1-x)^2. %F A172178 E.g.f.: (1 + 99*x)*exp(x). (End) %t A172178 99*Range[0, 50] + 1 (* or *) LinearRecurrence[{2, -1}, {1, 100}, 50] (* _Harvey P. Dale_, Apr 09 2012 *) %o A172178 (Magma) [99*n+1: n in [0..50]]; // _G. C. Greubel_, Apr 26 2022 %o A172178 (SageMath) [99*n+1 for n in (0..50)] # _G. C. Greubel_, Apr 26 2022 %Y A172178 Cf. A017173. %K A172178 nonn,easy %O A172178 0,2 %A A172178 _Mark Dols_, Jan 28 2010 %E A172178 Offset corrected by _Harvey P. Dale_, Apr 09 2012