cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A165892 Triangular numbers of form n(n+2)(n+4).

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%I A165892 #6 Feb 07 2015 16:20:47
%S A165892 0,15,105,2145,32640,73920,1906128,2299440,7692030528
%N A165892 Triangular numbers of form n(n+2)(n+4).
%C A165892 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 A165892 Corresponding values of n are given in A165893.
%t A165892 TNQ[m_]:=IntegerQ[Sqrt[1+8*m]];Do[If[TNQ[m=n*(n+2)*(n+4)],Print[m]],{n,2*10^3}]
%t A165892 Select[Table[n(n+2)(n+4),{n,0,2000}],OddQ[Sqrt[8#+1]]&] (* _Harvey P. Dale_, Feb 07 2015 *)
%Y A165892 Cf. A001219 Triangular numbers of form a(a+1)(a+2).
%K A165892 nonn,fini,full
%O A165892 1,2
%A A165892 _Zak Seidov_, Sep 29 2009
%E A165892 "fini", "full" keywords from _Max Alekseyev_, Oct 01 2009
%E A165892 Initial 0 added by _Zak Seidov_, Oct 04 2009 at the suggestion of Alexander R. Povolotsky.