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A249243 Floor(1/((1 + 1/n)^(n + 1)) - e). 3

%I #8 Oct 28 2014 00:12:00

%S 0,1,2,2,3,4,5,5,6,7,8,8,9,10,11,11,12,13,14,14,15,16,16,17,18,19,19,

%T 20,21,22,22,23,24,25,25,26,27,28,28,29,30,30,31,32,33,33,34,35,36,36,

%U 37,38,39,39,40,41,41,42,43,44,44,45,46,47,47,48,49,50

%N Floor(1/((1 + 1/n)^(n + 1)) - e).

%C a(n+1) - a(n) is in {0,1} for n >= 0.

%H Clark Kimberling, <a href="/A249243/b249243.txt">Table of n, a(n) for n = 1..10000</a>

%t u = Floor[Table[1/((1 + 1/n)^(n + 1) - E), {n, 1, 1000}]]; (* A249243 *)

%t d = Differences[u]

%t Flatten[Position[d, 0]] (* A249244 *)

%t Flatten[Position[d, 1]] (* A249245 *)

%Y Cf. A247784, A249244, A249245.

%K nonn,easy

%O 1,3

%A _Clark Kimberling_, Oct 23 2014

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