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Numbers k with property that 4 + 2*k + 3*k^3 is a square.
1

%I #12 Sep 08 2022 08:45:48

%S 0,1,9,784

%N Numbers k with property that 4 + 2*k + 3*k^3 is a square.

%C 4 + 2*k + 3*k^3 = m^2 with k = {0,1,9,784} = {0,1,3,28}^2, and m = 2,3,47,38022.

%o (Magma)[n: n in [0..10000000]|IsSquare(4+2*n+3*n^3)] // _Vincenzo Librandi_, Dec 16 2010

%K fini,full,nonn

%O 0,3

%A _Zak Seidov_, Nov 21 2009