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A050210 Largest denominator in unit fraction representation of triangle of numbers 1/2, 1/3, 2/3, 1/4, 2/4, ... as computed with greedy algorithm.

%I A050210 #19 Feb 16 2025 08:32:40
%S A050210 2,3,6,4,2,4,5,15,10,20,6,3,2,6,3,7,28,231,14,70,42,8,4,24,2,8,4,24,9,
%T A050210 45,3,9,18,6,36,18,10,5,20,15,2,10,5,20,15,11,66,44,33,99,22,88,4070,
%U A050210 660,231,12,6,4,3,12,2,12,6,4,3,12,13,91,2145,468,780,312,26,234,39,52,78,156
%N A050210 Largest denominator in unit fraction representation of triangle of numbers 1/2, 1/3, 2/3, 1/4, 2/4, ... as computed with greedy algorithm.
%H A050210 Alois P. Heinz, <a href="/A050210/b050210.txt">Rows n = 2..142, flattened</a>
%H A050210 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/UnitFraction.html">Unit Fraction.</a>
%H A050210 Wikipedia, <a href="https://en.wikipedia.org/wiki/Greedy_algorithm_for_Egyptian_fractions">Greedy algorithm for Egyptian fractions</a>.
%e A050210 Triangle begins:
%e A050210    2;
%e A050210    3,  6;
%e A050210    4,  2,   4;
%e A050210    5, 15,  10, 20;
%e A050210    6,  3,   2,  6,  3;
%e A050210    7, 28, 231, 14, 70, 42;
%e A050210    8,  4,  24,  2,  8,  4, 24;
%e A050210    9, 45,   3,  9, 18,  6, 36,   18;
%e A050210   10,  5,  20, 15,  2, 10,  5,   20,  15;
%e A050210   11, 66,  44, 33, 99, 22, 88, 4070, 660, 231;
%e A050210   ...
%Y A050210 Cf. A050205, A050206.
%K A050210 nonn,tabl,easy
%O A050210 2,1
%A A050210 _Eric W. Weisstein_
%E A050210 Offset changed to 2 by _Alois P. Heinz_, Sep 25 2014