A349096 - OEIS

A349096

Where ones occur in A349083. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/x + 1/y + 1/z, 0 < x < y < z.

%I #6 Dec 30 2021 15:40:31

%S 15,21,36,45,65,72,75,76,77,89,90,105,118,131,132,133,151,152,153,165,

%T 166,169,189,190,206,207,208,209,225,227,229,241,242,245,273,276,292,

%U 293,294,295,297,312,317,318,320,322,348,349,373,374,375,376,387,391,400,431

%N Where ones occur in A349083. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/x + 1/y + 1/z, 0 < x < y < z.

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

%e 15 is a term because A349083(15)=1, indicating that 5/6 = 1/x + 1/y + 1/z has a unique solution: 1/2 + 1/4 + 1/12.

%Y Cf. A349083, A002260, A003057, A349090, A349095.

%K nonn

%O 1,1

%A _Jud McCranie_, Dec 26 2021