A349095 - OEIS

A349095

Where ones occur in A349082. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/x + 1/y, 0 < x < y.

%I #12 Dec 26 2021 02:55:10

%S 1,2,3,5,6,7,8,9,12,13,14,15,16,17,19,25,26,27,31,32,33,34,38,40,41,

%T 42,43,46,47,48,49,51,59,61,63,64,65,67,68,73,80,82,83,85,86,87,94,96,

%U 97,100,101,110,113,114,115,117,121,122,123,126,129,142,143,144,145,146,147,148

%N Where ones occur in A349082. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/x + 1/y, 0 < x < y.

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

%H Jud McCranie, <a href="/A349095/b349095.txt">Table of n, a(n) for n = 1..500</a>

%e 6 is a term because A349082(6)=1, indicating that 3/4 = 1/x + 1/y has a unique solution, 1/2 + 1/4.

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

%K nonn

%O 1,2

%A _Jud McCranie_, Dec 24 2021