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A096613 Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)). 1

%I #14 Apr 14 2022 05:34:16

%S 268,536,804,1072,1341,1609,1877,2145,2414,2682,2950,3218,3487,3755,

%T 4023,4291,4560,4828,5096,5364,5633,5901,6169,6437,6706,6974,7242,

%U 7510,7779,8047,8315,8583,8852,9120,9388,9656,9925,10193,10461,10729

%N Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).

%H Amiram Eldar, <a href="/A096613/b096613.txt">Table of n, a(n) for n = 1..10000</a>

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

%e Floor(k*tanh(Pi)) = k-1 for 1<=k<=267, but floor(268*tanh(Pi)) = floor(269*tanh(Pi)) = 267, so 268 is the first member of the sequence.

%t Select[Range[10^4], Floor[#*Tanh[Pi]] == Floor[(# + 1)*Tanh[Pi]] &] (* _Amiram Eldar_, Apr 14 2022 *)

%Y Cf. A344505.

%K nonn

%O 1,1

%A _Eric W. Weisstein_, Jun 30 2004

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Last modified May 4 19:41 EDT 2024. Contains 372257 sequences. (Running on oeis4.)