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a(n) = n + [nr/t] + [ns/t]; r=1/2, s=sinh(1), t=cosh(1).
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%I #9 Dec 27 2017 01:41:53

%S 1,3,5,8,9,11,14,16,17,20,22,24,26,28,30,33,34,36,39,41,42,45,47,49,

%T 52,53,55,58,60,61,64,66,68,70,72,74,76,78,80,82,85,86,88,91,93,95,97,

%U 99,101,104,105,107,110,112,113,116,118,120,122,124,126,129,130,132,135,137,139,141,143,145,148,149,151,153,156,157,159,162

%N a(n) = n + [nr/t] + [ns/t]; r=1/2, s=sinh(1), t=cosh(1).

%C See A190265.

%H G. C. Greubel, <a href="/A190280/b190280.txt">Table of n, a(n) for n = 1..10000</a>

%F A190265: a(n)=n+[2n*sinh(1)]+[2n*cosh(1)].

%F A190279: b(n)=n+[(n/2)*csch(1)]+[n*coth(1)].

%F A190280: c(n)=n+[(n/2)*sech(1)]+[n*tanh(1)].

%t r=1/2; s=Sinh[1]; t=Cosh[1];

%t a[n_] := n + Floor[n*s/r] + Floor[n*t/r];

%t b[n_] := n + Floor[n*r/s] + Floor[n*t/s];

%t c[n_] := n + Floor[n*r/t] + Floor[n*s/t];

%t Table[a[n], {n, 1, 120}] (*A190265*)

%t Table[b[n], {n, 1, 120}] (*A190279*)

%t Table[c[n], {n, 1, 120}] (*A190280*)

%Y Cf. A190265, A190279.

%K nonn

%O 1,2

%A _Clark Kimberling_, May 07 2011