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Numbers k such that A249243(k+1) = A249243(k) + 1.
3

%I #5 Oct 28 2014 00:12:23

%S 1,2,4,5,6,8,9,10,12,13,14,16,17,18,20,21,23,24,25,27,28,29,31,32,33,

%T 35,36,37,39,40,42,43,44,46,47,48,50,51,52,54,55,57,58,59,61,62,63,65,

%U 66,67,69,70,71,73,74,76,77,78,80,81,82,84,85,86,88,89

%N Numbers k such that A249243(k+1) = A249243(k) + 1.

%C A249244 and A249245 are a complementary pair, analogous to the pair A247785 and A247786.

%H Clark Kimberling, <a href="/A249245/b249245.txt">Table of n, a(n) for n = 1..5000</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, A247785, A249243, A249244.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Oct 23 2014