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Where zeros occur in A349084. These correspond to rationals, 0 < p/q < 1, that have no solution p/q = 1/w + 1/x + 1/y + 1/z, 0 < w < x < y < z.
3

%I #16 Dec 25 2021 15:06:22

%S 136,252,253,405,406,465,560,561,666,703,741,810,814,818,820,895,900,

%T 901,902,1032,1034,1070,1073,1074,1078,1079,1080,1081,1174,1225,1273,

%U 1326,1370,1373,1376,1377,1378,1485,1587,1596,1649,1650,1652,1653,1681,1682,1700,1702,1706,1707,1708,1709,1710,1711,1808

%N Where zeros occur in A349084. These correspond to rationals, 0 < p/q < 1, that have no solution p/q = 1/w + 1/x + 1/y + 1/z, 0 < w < x < y < z.

%C For index k, p/q = A002260(k)/A003057(k).

%H Jud McCranie, <a href="/A349092/b349092.txt">Table of n, a(n) for n = 1..687</a>

%e 136 is a term because A349084(136)=0, indicating that 16/17 = 1/w + 1/x + 1/y + 1/z has no solution.

%Y Cf. A349082, A002260, A003057, A349090, A349091.

%K nonn

%O 1,1

%A _Jud McCranie_, Dec 12 2021