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 A177044 #28 Feb 28 2023 02:23:09 %S A177044 38,65,141,168,244,271,347,374,450,477,553,580,656,683,759,786,862, %T A177044 889,965,992,1068,1095,1171,1198,1274,1301,1377,1404,1480,1507,1583, %U A177044 1610,1686,1713,1789,1816,1892,1919,1995,2022,2098,2125,2201,2228,2304,2331,2407,2434,2510,2537 %N A177044 a(n) = 103*(n-1)-a(n-1) with n>1, a(1)=38. %C A177044 Positive numbers k such that k^2 == 2 (mod 103). %H A177044 Vincenzo Librandi, <a href="/A177044/b177044.txt">Table of n, a(n) for n = 1..1000</a> %H A177044 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1). %F A177044 a(n) = (103+49*(-1)^(n-1)+206*(n-1))/4. %F A177044 G.f.: x*(38+27*x+38*x^2) / ( (1+x)*(x-1)^2 ). - _R. J. Mathar_, Aug 24 2011 %F A177044 Sum_{n>=1} (-1)^(n+1)/a(n) = tan(27*Pi/206)*Pi/103. - _Amiram Eldar_, Feb 28 2023 %t A177044 CoefficientList[Series[(38 + 27 x + 38 x^2)/((1 + x) (x - 1)^2), {x, 0, 50}], x] (* _Vincenzo Librandi_, Sep 24 2014 *) %t A177044 LinearRecurrence[{1,1,-1},{38,65,141},50] (* _Harvey P. Dale_, Nov 21 2021 *) %o A177044 (Magma) [(103+49*(-1)^(n-1)+206*(n-1))/(4): n in [1..50]]; %K A177044 nonn,easy %O A177044 1,1 %A A177044 _Vincenzo Librandi_, Dec 09 2010