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 A105396 #18 Jul 03 2023 07:55:09 %S A105396 3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3, %T A105396 6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6, %U A105396 6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6 %N A105396 A simple "Fractal Jump Sequence" (FJS). %C A105396 See A105397 for definition of Fractal Jump Sequence. %C A105396 From _Vincenzo Librandi_, Nov 13 2010: (Start) %C A105396 First digit after the decimal point in the decimal expansion of (n^2 - 2)/3 (with n > 2). Examples: %C A105396 for n=3, (3^2-2)/3 = 2.(3); %C A105396 for n=4, (4^2-2)/3 = 4.(6); %C A105396 for n=5, (5^2-2)/3 = 7.(6); %C A105396 for n=6, (6^2-2)/3 = 11.(3); %C A105396 for n=7, (7^2-2)/3 = 15.(6). (End) %H A105396 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1). %F A105396 From _Robert Israel_, Aug 04 2019: (Start) %F A105396 a(n)=3 if 3|n, otherwise a(n)=6. %F A105396 G.f.: 3*(1+2*x+2*x^2)*x^3/(1-x^3). (End) %Y A105396 Equals 3*A130196. %K A105396 base,easy,nonn %O A105396 3,1 %A A105396 _Eric Angelini_, May 01 2005