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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. 7

%I #18 Apr 14 2023 18:07:20

%S 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 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 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 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 Alois P. Heinz, <a href="/A050210/b050210.txt">Rows n = 2..142, flattened</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/UnitFraction.html">Unit Fraction.</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Greedy_algorithm_for_Egyptian_fractions">Greedy algorithm for Egyptian fractions</a>.

%e Triangle begins:

%e 2;

%e 3, 6;

%e 4, 2, 4;

%e 5, 15, 10, 20;

%e 6, 3, 2, 6, 3;

%e 7, 28, 231, 14, 70, 42;

%e 8, 4, 24, 2, 8, 4, 24;

%e 9, 45, 3, 9, 18, 6, 36, 18;

%e 10, 5, 20, 15, 2, 10, 5, 20, 15;

%e 11, 66, 44, 33, 99, 22, 88, 4070, 660, 231;

%e ...

%Y Cf. A050205, A050206.

%K nonn,tabl,easy

%O 2,1

%A _Eric W. Weisstein_

%E Offset changed to 2 by _Alois P. Heinz_, Sep 25 2014

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Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)