A349091 - OEIS

%I #16 Dec 25 2021 15:06:12

%S 53,54,55,78,91,120,128,134,135,136,162,167,168,170,171,210,226,228,

%T 230,231,246,247,248,249,250,251,252,253,288,298,299,300,319,321,323,

%U 324,325,345,347,350,351,377,378,390,392,396,397,398,399,401,402,403,404,405,406,435,447,450,453,457,458,459,460,462,463,464,465

%N Where zeros occur in A349083. These correspond to rationals, 0 < p/q < 1, that have no solution p/q = 1/x + 1/y + 1/z, 0 < x < y < z.

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

%H Jud McCranie, <a href="/A349091/b349091.txt">Table of n, a(n) for n = 1..732</a>

%e 53 is a term because A349083(53)=0, indicating that 8/11 = 1/x + 1/y + 1/z has no solution.

%Y Cf. A349082, A002260, A003057, A349090, A349092.

%K nonn

%O 1,1

%A _Jud McCranie_, Dec 12 2021