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 A168093 #17 Jun 29 2023 12:47:58 %S A168093 3,4,5,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, %T A168093 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, %U A168093 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7 %N A168093 a(n) = number of natural numbers m such that n - 3 <= m <= n + 3. %C A168093 Generalization: If a(n,k) = number of natural numbers m such that n - k <= m <= n + k (k >= 1) then a(n,k) = a(n-1,k) + 1 = n + k for 0 <= n <= k, a(n,k) = a(n-1,k) = 2k + 1 for n >= k + 1 (see, e.g., A158799). %H A168093 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A168093 a(n) = 3 + n for 0 <= n <= 3, a(n) = 7 for n >= 4. %F A168093 G.f.: (3 - 2*x - x^5)/(1-x)^2. - _G. C. Greubel_, Jul 11 2016 %t A168093 CoefficientList[Series[(3 - 2*x - x^5)/(1 - x)^2, {x, 0, 25}], x] (* _G. C. Greubel_, Jul 11 2016 *) %Y A168093 Cf. A000027. %K A168093 nonn,less %O A168093 0,1 %A A168093 _Jaroslav Krizek_, Nov 18 2009