

A105216


Maximum denominator among the n! ratios equal to the continued fractions which have the permutations of (1,2,3,...,n) for terms.


1



1, 2, 7, 31, 164, 1021, 7340, 59899, 547423, 5541311, 61560751, 744810564, 9749580487, 137299957892, 2069988277027, 33266800950301, 567742165061876, 10254686071781119, 195439907769223706, 3919618523321600065, 82517650453354285621, 1819502802723019762607
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OFFSET

1,2


COMMENTS

Calculated by Vladeta Jovovic and David W. Wilson.


LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..200


FORMULA

a(n) ~ c * n!, where c = 1.69579254611555585961617066333... .  Vaclav Kotesovec, Aug 25 2014


MAPLE

r:= proc(l) local j; infinity; for j to nops(l) do l[j] +1/% od end: gl:= proc(n) local i, l; l:=[]; for i from 2 to n do l:= `if` (irem (i, 2)=0, [l[], i], [i, l[]]) od; [l[], 1] end: a:= n> denom (r (gl (n))): seq (a(n), n=1..25); # Alois P. Heinz, Nov 18 2009


CROSSREFS

Cf. A105151.
Sequence in context: A277396 A227119 A002872 * A260532 A193657 A007164
Adjacent sequences: A105213 A105214 A105215 * A105217 A105218 A105219


KEYWORD

nonn


AUTHOR

Leroy Quet, Apr 12 2005


EXTENSIONS

More terms from Alois P. Heinz, Nov 18 2009


STATUS

approved



