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.
%I A014794 #28 Aug 03 2025 15:35:03
%S A014794 0,64,1600,9216,30976,78400,166464,313600,541696,876096,1345600,
%T A014794 1982464,2822400,3904576,5271616,6969600,9048064,11560000,14561856,
%U A014794 18113536,22278400,27123264,32718400,39137536,46457856,54760000
%N A014794 Squares of even octagonal numbers.
%H A014794 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A014794 G.f.: 64*x*(1+20*x+29*x^2+4*x^3)/(1-x)^5. - _Colin Barker_, Jan 06 2012
%F A014794 a(n) = 16n^2*(3n-1)^2. - _Vincenzo Librandi_, Jan 07 2012
%F A014794 E.g.f.: 16*exp(x)*x*(4 + 46*x + 48*x^2 + 9*x^3). - _Stefano Spezia_, Apr 16 2022
%t A014794 Table[16*n^2*(3*n-1)^2,{n,0,30}] (* _Vincenzo Librandi_, Jan 07 2012 *)
%t A014794 LinearRecurrence[{5,-10,10,-5,1},{0,64,1600,9216,30976},30] (* _Harvey P. Dale_, Nov 27 2015 *)
%t A014794 Select[PolygonalNumber[8,Range[0,50]],EvenQ]^2 (* _Harvey P. Dale_, Aug 03 2025 *)
%o A014794 (Magma) [16*n^2*(3*n-1)^2: n in [1..50]]; // _Vincenzo Librandi_, Jan 07 2012
%o A014794 (PARI) a(n) = 16*n^2*(3*n-1)^2 \\ _Vincenzo Librandi_, Jan 07 2012
%Y A014794 Cf. A000567, A014641, A014642, A014793.
%K A014794 nonn,easy
%O A014794 0,2
%A A014794 _Mohammad K. Azarian_
%E A014794 More terms from _Patrick De Geest_, Aug 2000
%E A014794 a(8) corrected by _Vincenzo Librandi_, Jan 07 2012