%I #7 Mar 31 2012 20:17:55
%S 1,2,3,6,4,4,5,15,10,10,6,3,7,21,21,14,14,21,8,8,8,8,9,18,9,18,9,18,
%T 10,10,5,15,11,44,44,33,33,22,22,44,44,33,12,6,4,6,13,65,39,39,52,52,
%U 26,26,39,39,52,65,14,14,21,7,21,21,15,20,10,10,5,15,6,10,16,16,16,16,16,16
%N Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of maximal denominator.
%D Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004
%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>
%e Triangle begins:
%e 1
%e 2
%e 3 6
%e 4 4
%e 5 15 10 10
%e 6 3
%e 7 21 21 14 14 21
%e 8 8 8 8
%e 9 18 9 18 9 18
%e 10 10 5 15
%e 11 44 44 33 33 22 22 44 44 33
%e 12 6 4 6
%e 13 65 39 39 65 52 26 26 39 39 52 65
%Y Cf. A097847, A097848, A097849, A111807, A111809, A111860.
%K nonn,tabf
%O 1,2
%A _N. J. A. Sloane_, based on communications from _Franklin T. Adams-Watters_, Nov 22 2005
%E One term corrected by _David Wasserman_, Feb 17 2009
|