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Number of partitions of 1/n into 4 reciprocals of positive integers.
4

%I #20 Apr 11 2024 17:21:49

%S 14,108,339,694,1104,1816,2021,3363,4053,5370,4444,9052,5205,11215,

%T 14348,11334,7786,18204,9859,29662,24183,17889,12648,38904,20559,

%U 24821,31884,43698,16480,59019,15409,43600,48011,39273,79516,74034,17029,42954,70221

%N Number of partitions of 1/n into 4 reciprocals of positive integers.

%H Justus Springer, <a href="/A020327/b020327.txt">Table of n, a(n) for n = 1..100</a>

%t a[n_] := Length@ Solve[1/n == 1/w + 1/x + 1/y + 1/z && 0 < w <= x <= y <= z, {w, x, y, z}, Integers]; (* _Robert G. Wilson v_, Apr 30 2014 *)

%K nonn

%O 1,1

%A _David W. Wilson_