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 A248873 #24 Feb 16 2025 08:33:23
%S A248873 1,4,12,34,93,255,693,1884,5122,13923,37847,102880,279658,760190,
%T A248873 2066413,5617093,15268842,41505016,112822331,306682894,833650539,
%U A248873 2266097111,6159890600,16744318683,45515777207,123724710091,336318631172,914208823689,2485077232852,6755140284380
%N A248873 a(n) = floor(e^(n+1) - e^n).
%C A248873 e^(n+1)-e^n-1 < a(n) <= A064780(n) <= a(n)+1 < e^(n+1)-e^n+1.
%C A248873 Lim_{n->infinity} a(n)/e^(n+1) = (e-1)/e. [Corrected by _Altug Alkan_, Apr 25 2018]
%H A248873 Danny Rorabaugh, <a href="/A248873/b248873.txt">Table of n, a(n) for n = 0..1000</a>
%H A248873 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/e.html">e</a>
%H A248873 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/FloorFunction.html">Floor Function</a>
%F A248873 a(n) = floor(e^(n+1)-e^n).
%t A248873 Floor[#[[2]]-#[[1]]]&/@Partition[E^Range[0,30],2,1] (* _Harvey P. Dale_, Jul 24 2018 *)
%o A248873 (PARI) vector(30, n, n--; floor(exp(n+1)-exp(n))) \\ _Michel Marcus_, Mar 06 2015
%Y A248873 Cf. A000149, A001113, A064780, A068996.
%K A248873 nonn,easy
%O A248873 0,2
%A A248873 _Danny Rorabaugh_, Mar 04 2015