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Number of irreducible Egyptian fractions of denominator n which are the sum of 3 unit fractions.
3

%I #14 Jul 14 2019 14:31:42

%S 3,3,5,5,8,5,10,8,11,8,13,8,15,10,13,12,18,11,19,14,19,13,22,14,22,15,

%T 22,18,24,13,25,20,23,18,28,18,25,20,28,22,28,19,29,24,29,20,33,24,35,

%U 23,32,27,33,22,42,28,35,24,38,24,30,26,38,31

%N Number of irreducible Egyptian fractions of denominator n which are the sum of 3 unit fractions.

%H Cyril Banderier, Florian Luca, Francesco Pappalardi, <a href="https://lipn.fr/~cb/Papers/EgyptianFractions.pdf">Numerators of Egyptian fractions</a>, 2019.

%e There are a(2)=3 irreducible fractions with denominator n=2 which are the sums of 3 unit fractions: 1/2 = 1/8 + 1/8 + 1/4 and 3/2 = 1/2 + 1/2 + 1/2, and 5/2 = 1/1 + 1/1 + 1/2.

%Y Cf. A308219, A308220, A308221.

%K nonn

%O 1,1

%A _Cyril Banderier_, May 25 2019