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 A153794 #30 Dec 04 2022 18:28:15
%S A153794 0,4,32,84,160,260,384,532,704,900,1120,1364,1632,1924,2240,2580,2944,
%T A153794 3332,3744,4180,4640,5124,5632,6164,6720,7300,7904,8532,9184,9860,
%U A153794 10560,11284,12032,12804,13600,14420,15264,16132,17024
%N A153794 4 times octagonal numbers: a(n) = 4*n*(3*n-2).
%C A153794 Sequence found by reading the segment (0, 4) together with the line from 4, in the direction 4, 32, ..., in the square spiral whose vertices are the generalized octagonal numbers A001082. - _Omar E. Pol_, Jul 18 2012
%H A153794 G. C. Greubel, <a href="/A153794/b153794.txt">Table of n, a(n) for n = 0..1000</a>
%H A153794 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A153794 a(n) = 12*n^2 - 8*n = 4*A000567(n) = 2*A139267(n).
%F A153794 a(n) = 24*n + a(n-1) - 20 (with a(0)=0). - _Vincenzo Librandi_, Aug 03 2010
%F A153794 a(0)=0, a(1)=4, a(2)=32, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - _Harvey P. Dale_, Jul 14 2011
%F A153794 G.f.: 4*(x + 5*x^2)/(1-x)^3. - _Harvey P. Dale_, Jul 14 2011
%F A153794 E.g.f.: 4*x*(1 + 3*x)*exp(x). - _G. C. Greubel_, Aug 29 2016
%t A153794 s=0;lst={s};Do[s+=n;AppendTo[lst,s],{n,4,7!,24}];lst (* _Vladimir Joseph Stephan Orlovsky_, Apr 02 2009 *)
%t A153794 Table[4n(3n-2),{n,0,40}] (* or *) LinearRecurrence[{3,-3,1},{0,4,32},41] (* _Harvey P. Dale_, Jul 14 2011 *)
%t A153794 4*PolygonalNumber[8,Range[0,40]] (* _Harvey P. Dale_, Dec 04 2022 *)
%o A153794 (PARI) a(n) = 12*n^2 - 8*n; \\ _Altug Alkan_, Aug 29 2016
%Y A153794 Cf. A000567, A139267, A152751, A153808.
%K A153794 easy,nonn
%O A153794 0,2
%A A153794 _Omar E. Pol_, Jan 19 2009