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A248873 a(n) = floor(e^(n+1)-e^n). 2

%I

%S 1,4,12,34,93,255,693,1884,5122,13923,37847,102880,279658,760190,

%T 2066413,5617093,15268842,41505016,112822331,306682894,833650539,

%U 2266097111,6159890600,16744318683,45515777207,123724710091,336318631172,914208823689,2485077232852,6755140284380

%N a(n) = floor(e^(n+1)-e^n).

%C e^(n+1)-e^n-1 < a(n) <= A064780(n) <= a(n)+1 < e^(n+1)-e^n+1.

%C Lim_{n->infinity} a(n)/e^(n+1) = (e-1)/e. [Corrected by _Altug Alkan_, Apr 25 2018]

%H Danny Rorabaugh, <a href="/A248873/b248873.txt">Table of n, a(n) for n = 0..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/e.html">e</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FloorFunction.html">Floor Function</a>

%F a(n) = floor(e^(n+1)-e^n).

%t Floor[#[[2]]-#[[1]]]&/@Partition[E^Range[0,30],2,1] (* _Harvey P. Dale_, Jul 24 2018 *)

%o (PARI) vector(30, n, n--; floor(exp(n+1)-exp(n))) \\ _Michel Marcus_, Mar 06 2015

%Y Cf. A000149, A064780, A068996.

%K nonn,easy

%O 0,2

%A _Danny Rorabaugh_, Mar 04 2015

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Last modified February 29 03:43 EST 2020. Contains 332353 sequences. (Running on oeis4.)