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 A165747 #15 Jun 30 2023 14:24:21 %S A165747 1,-1,-3,-5,-7,-9,-11,-13,-15,-17,-19,-21,-23,-25,-27,-29,-31,-33,-35, %T A165747 -37,-39,-41,-43,-45,-47,-49,-51,-53,-55,-57,-59,-61,-63,-65,-67,-69, %U A165747 -71,-73,-75,-77,-79,-81,-83,-85,-87,-89,-91,-93,-95,-97,-99,-101,-103 %N A165747 a(n) = 1-2n. %H A165747 G. C. Greubel, <a href="/A165747/b165747.txt">Table of n, a(n) for n = 0..1000</a> %H A165747 Ângela Mestre, José Agapito, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL22/Mestre/mestre2.html">Square Matrices Generated by Sequences of Riordan Arrays</a>, J. Int. Seq., Vol. 22 (2019), Article 19.8.4. %H A165747 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2, -1). %F A165747 a(n) = -A060747(n). %F A165747 a(n) = 2*a(n-1) - a(n-2), a(0)= 1, a(1)= -1. %F A165747 G.f.: (1-3x)/(1-x)^2. %F A165747 a(n) = Sum_{k, 0<=k<=n} A112555(n,k)*(-2)^(n-k). %F A165747 E.g.f.: (1-2*x)*exp(x). - _G. C. Greubel_, Apr 07 2016 %t A165747 Table[1 - 2 n, {n, 0, 100}] (* _G. C. Greubel_, Apr 07 2016 *) %o A165747 (PARI) x='x+O('x^99); Vec((1-3*x)/(1-x)^2) \\ _Altug Alkan_, Apr 07 2016 %Y A165747 Cf. A060747 %K A165747 easy,sign %O A165747 0,3 %A A165747 _Philippe Deléham_, Sep 26 2009