A349097 - OEIS

A349097

Where ones occur in A349084. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/w + 1/x + 1/y + 1/z, 0 < w < x < y < z.

%I #19 Jan 16 2022 02:06:41

%S 171,250,325,402,404,458,463,464,496,595,660,663,665,702,817,819,893,

%T 896,899,903,946,1028,1033,1035,1076,1077,1168,1172,1175,1176,1274,

%U 1275,1325,1352,1360,1363,1365,1369,1374,1375,1482,1484,1594,1595,1643

%N Where ones occur in A349084. These correspond to rationals, 0 < p/q < 1, that have a unique 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).

%e 171 is a term because A349084(171) = 1, indicating that 18/19 = 1/w + 1/x + 1/y + 1/z has a unique solution: 1/2 + 1/3 + 1/9 + 1/342.

%Y Cf. A349084, A002260, A003057, A349090, A349095, A349096.

%K nonn,more

%O 1,1

%A _Jud McCranie_, Dec 26 2021