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%I #36 Dec 31 2021 22:22:46
%S 8,14,3135,10714,70342709283
%N Numbers representable as x^y + x*y and as b^c + b + c, where x, y, b, c are integers > 1.
%C Intersection of A250004 and A253775.
%C No more terms < 10^20. - _Lars Blomberg_, Dec 13 2015
%e a(2) = 14 = 2^3 + 2*3 = 3^2 + 2 + 3.
%e a(3) = 3135 = 55^2 + 55*2 = 5^5 + 5 + 5.
%e a(4) = 10714 = 22^3 + 22*3 = 103^2 + 103 + 2.
%e a(5) = 70342709283 = 265221^2 + 265221*2 = 4128^3 + 4128 + 3.
%Y Cf. A250004, A253775.
%K nonn,more
%O 1,1
%A _Alex Ratushnyak_, Jan 18 2015