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 A168095 #13 Jun 29 2023 12:50:03 %S A168095 5,6,7,8,9,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11, %T A168095 11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11, %U A168095 11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11 %N A168095 a(n) = number of natural numbers m such that n - 5 <= m <= n + 5. %C A168095 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 A168095 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A168095 a(n) = 5 + n for 0 <= n <= 5, a(n) = 11 for n >= 6. %F A168095 G.f.: (5 - 4*x - x^7)/(1-x)^2. - _G. C. Greubel_, Jul 12 2016 %t A168095 CoefficientList[Series[(5 - 4*x - x^7)/(1 - x)^2, {x, 0, 25}], x] (* _G. C. Greubel_, Jul 12 2016 *) %Y A168095 Cf. A000027. %K A168095 nonn,less %O A168095 0,1 %A A168095 _Jaroslav Krizek_, Nov 18 2009