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Triangle read by rows: T(n,k) = maximum denominator in the Egyptian fraction representation that minimizes the maximum denominator of the k-th entry of row n of the triangle of numbers 1/2; 1/3, 2/3; 1/4, 2/4, 3/4; ...
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%I #3 Mar 31 2012 20:08:05

%S 2,3,6,4,2,4,5,15,10,10,6,3,2,6,3,7,21,21,14,14,21,8,4,8,2,8,4,8,9,18,

%T 3,9,18,6,9,18,10,5,10,15,2,10,5,10,15,11,44,44,33,33,22,22,44,44,33

%N Triangle read by rows: T(n,k) = maximum denominator in the Egyptian fraction representation that minimizes the maximum denominator of the k-th entry of row n of the triangle of numbers 1/2; 1/3, 2/3; 1/4, 2/4, 3/4; ...

%e The 47th position, corresponding to the fraction 2/11, has value 44 because 2/11=1/12+1/22+1/33+1/44 and there is no way of writing 2/11 as a sum of distinct unit fractions with all denominators less than 44.

%Y Cf. A050210.

%K nonn,tabl

%O 0,1

%A _David Eppstein_, Mar 09 2004