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Numbers n such that n! is the sum of a square and a nonnegative cube.
1

%I #14 Jun 06 2016 00:08:23

%S 0,1,2,4,19,21

%N Numbers n such that n! is the sum of a square and a nonnegative cube.

%C Numbers n such that n! = x^2 + y^3 where x, y are integers and y >= 0, is soluble.

%C a(7) > 33. - _Giovanni Resta_, Jun 03 2016

%e 4 is a term because 4! = 4^2 + 2^3.

%e 19 is a term because 19! = 345427200^2 + 132480^3.

%e 21 is a term because 21! = 6389296200^2 + 2173500^3.

%Y Cf. A000142, A022549.

%K nonn,more

%O 1,3

%A _Altug Alkan_, May 25 2016