%I #11 Dec 05 2021 10:58:04

%S 26,41,46,49,61,66,81,82,101,109,129,141,145,163,170,177,186,201,204,

%T 209,217,218,225,244,248,253,257,266,280,289,290,302,316,325,329,341,

%U 342,343,352,353,356,361,375,378,381,386,389,401,409,417,419,431,433,436,442,449,451,465

%N Numbers k such that there exists 0 < a, b, c, d, e, f < k such that a + b = c + d = e + f and a*b = c*k + d , c*d = e*k + f.

%e For k = 26, a = 10, b = 15, c = 5, d = 20, e = 3, f = 22,

%e and 10*15 = 5*26 + 20, 5*20 = 3*26 + 22, 10 + 15 = 5 + 20 = 3 + 22.

%K nonn,easy

%O 1,1

%A _Naohiro Nomoto_, Oct 10 2021