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A111804 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.

%I A111804 #7 Mar 31 2012 20:17:55
%S A111804 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 A111804 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 A111804 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 A111804 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 A111804 Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004
%H A111804 <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>
%e A111804 Triangle begins:
%e A111804 1
%e A111804 2
%e A111804 3 6
%e A111804 4 4
%e A111804 5 15 10 10
%e A111804 6 3
%e A111804 7 21 21 14 14 21
%e A111804 8 8 8 8
%e A111804 9 18 9 18 9 18
%e A111804 10 10 5 15
%e A111804 11 44 44 33 33 22 22 44 44 33
%e A111804 12 6 4 6
%e A111804 13 65 39 39 65 52 26 26 39 39 52 65
%Y A111804 Cf. A097847, A097848, A097849, A111807, A111809, A111860.
%K A111804 nonn,tabf
%O A111804 1,2
%A A111804 _N. J. A. Sloane_, based on communications from _Franklin T. Adams-Watters_, Nov 22 2005
%E A111804 One term corrected by _David Wasserman_, Feb 17 2009