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a(n) = floor(n*sinh(1)).
5

%I #12 Jul 06 2020 02:12:56

%S 1,2,3,4,5,7,8,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,27,28,29,

%T 30,31,32,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,54,55,56,

%U 57,58,59,61,62,63,64,65,66,68,69,70,71,72,74,75,76,77

%N a(n) = floor(n*sinh(1)).

%C Beatty sequence for sinh(1) = (e-1/e)/2 = 1.17520... = A073742; complement of A109235.

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

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

%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

%Y Cf. A109236, A109231, A109237.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Jun 23 2005