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A183201 Least integer k such that Floor(k*f(n+1))>k*f(n), where f(n)=arccosh(n). 1
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, 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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..100.

MATHEMATICA

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

CROSSREFS

Cf. A183162, A183164.

Sequence in context: A318569 A277749 A227629 * A082467 A106407 A023141

Adjacent sequences:  A183198 A183199 A183200 * A183202 A183203 A183204

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 29 2010

STATUS

approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)