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%I #6 Feb 07 2015 16:20:47
%S 0,15,105,2145,32640,73920,1906128,2299440,7692030528
%N Triangular numbers of form n(n+2)(n+4).
%C Values of (m^2-1)/8 corresponding to ordinates of integral points on the elliptic curve: m^2 = 8*n^3 + 48*n^2 + 64*n + 1.
%C Corresponding values of n are given in A165893.
%t TNQ[m_]:=IntegerQ[Sqrt[1+8*m]];Do[If[TNQ[m=n*(n+2)*(n+4)],Print[m]],{n,2*10^3}]
%t Select[Table[n(n+2)(n+4),{n,0,2000}],OddQ[Sqrt[8#+1]]&] (* _Harvey P. Dale_, Feb 07 2015 *)
%Y Cf. A001219 Triangular numbers of form a(a+1)(a+2).
%K nonn,fini,full
%O 1,2
%A _Zak Seidov_, Sep 29 2009
%E "fini", "full" keywords from _Max Alekseyev_, Oct 01 2009
%E Initial 0 added by _Zak Seidov_, Oct 04 2009 at the suggestion of Alexander R. Povolotsky.