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%I #5 Mar 31 2012 13:21:29
%S 2,3,8,4,6,5,18,12,17,6,5,7,32,39,16,23,36,8,12,10,14,9,24,12,20,17,
%T 23,10,15,7,20,11,72,48,36,47,24,35,95,72,60,12,10,7,12,13,98,71,82,
%U 95,101,28,41,47,58,71,96,14,21,34,9,34,41,15,32,16,21,8,23,13,15,16,24,20,28
%N Triangle read by rows: T(n,k) = minimal sum of denominators needed to write k/n (for 1 <= k <= n with gcd(k,n) = 1) as a sum of unit fractions, where k/n is in lowest terms.
%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>
%e The table starts:
%e 2
%e 3 8
%e 4 6
%e 5 18 12 17
%e T(5,2) = 18 because the minimal sum of unit fractions is 2/5 = 1/3 + 1/15 and 3+15=18.
%Y Cf. A100870, A100871.
%K nonn,tabf
%O 1,1
%A _Franklin T. Adams-Watters_, Nov 20 2004