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Least integer k such that Floor(k*f(n+1))>k*f(n), where f(n)=arccosh(n).
1

%I #7 Mar 30 2012 18:57:12

%S 1,2,1,4,3,2,3,5,9,1,6,4,7,3,7,2,7,5,3,7,4,5,6,8,12,21,1,17,11,8,7,6,

%T 5,9,4,7,13,3,8,5,7,9,11,23,2,13,9,7,5,13,8,17,3,10,7,11,4,13,9,5,11,

%U 6,13,7,8,9,10,12,14,18,23,34,61,1,42,28,21,16,14,12,11,9,17,8,7,13,6,17,11,5,14,9,13,21,4,15,11,7,17,10

%N Least integer k such that Floor(k*f(n+1))>k*f(n), where f(n)=arccosh(n).

%C Equivalently, k is the least positive integer such that there is a rational number H with denominator k for which n < cosh(H) < n+1.

%t Table[k=1; While[Floor[k*ArcCosh[n+1]]<=k*ArcCosh[n], k++]; k, {n,100}]

%Y Cf. A183162, A183164.

%K nonn

%O 1,2

%A _Clark Kimberling_, Dec 29 2010