A253914 - OEIS

%I #11 Apr 28 2019 20:08:32

%S 6,18,20,30,66,258,260,732,1026,3130,4098,4100,16386,19686,46662,

%T 65538,65540,65552,262146,531444,823550,1048578,1048580,4194306,

%U 9765630,14348910,16777218,16777220,16777224,67108866,268435458,268435460,387420492,387420498,1073741826

%N Numbers that can be represented as both a^x + x and b^y + b, for some a, b, x, y > 1.

%C Intersection of A099225 and A253913.

%C Includes a^(a*b)+a = (a^b)^a+a for a,b > 1. - _Robert Israel_, Apr 28 2019

%e a(1) = 6 = 2^2 + 2, in this case a = b = x = y = 2.

%e a(2) = 18 = 2^4 + 2 = 4^2 + 2.

%e a(8) = 732 = 3^6 + 3 = 9^3 + 3.

%Y Cf. A099225, A253913, A099226.

%K nonn

%O 1,1

%A _Alex Ratushnyak_, Jan 18 2015