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 A101825 #25 Dec 14 2023 05:16:03 %S A101825 0,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1, %T A101825 1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1, %U A101825 2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2 %N A101825 G.f.: x*(1+x)^2/(1-x^3). %C A101825 Period 3. Used in A042965. %C A101825 First differences are essentially A049347. The binomial transform yields 0, 1, 4, 10,... i.e. A111927 with the first two zeros removed. - _R. J. Mathar_, May 14 2008 %H A101825 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1). %F A101825 a(n) = A100063(n+1), n>0. - _R. J. Mathar_, Sep 01 2008 %t A101825 LinearRecurrence[{0,0,1},{0,1,2,1},120] (* _Harvey P. Dale_, Aug 01 2016 *) %o A101825 (PARI) x='x+O('x^50); Vec(x*(1+x)^2/(1-x^3)) \\ _G. C. Greubel_, May 03 2017 %K A101825 nonn,easy %O A101825 0,3 %A A101825 _N. J. A. Sloane_, Jun 17 2007