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 A014800 #30 Feb 16 2025 08:32:33 %S A014800 0,36,324,1600,15876,38416,82944,302500,527076,876096,2160900,3240000, %T A014800 4734976,9474084,13032100,17640000,30980356,40297104,51840000, %U A014800 83283876,104162436,129231424,194602500,236421376,285474816,409252900,486202500 %N A014800 Squares of even pentagonal pyramidal numbers. %H A014800 Vincenzo Librandi, <a href="/A014800/b014800.txt">Table of n, a(n) for n = 0..1500</a> %H A014800 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PentagonalPyramidalNumber.html">Pentagonal Pyramidal Number</a> %H A014800 <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,6,-6,0,-15,15,0,20,-20,0,-15,15,0,6,-6,0,-1,1). %F A014800 G.f.: -4*x*(x^16 +143*x^15 +481*x^14 +1394*x^13 +9661*x^12 +10814*x^11 +15996*x^10 +45222*x^9 +25248*x^8 +23414*x^7 +33610*x^6 +9218*x^5 +5203*x^4 +3515*x^3 +319*x^2 +72*x +9)/((x -1)^7*(x^2 +x +1)^6). [_Colin Barker_, Nov 16 2012] %F A014800 a(n) = A015224(n)^2. - _R. J. Mathar_, Jul 30 2016 %t A014800 Select[CoefficientList[Series[(x(2x+1))/(x-1)^4,{x,0,50}],x],EvenQ]^2 (* _Harvey P. Dale_, Feb 27 2012 *) %Y A014800 Cf. A002411, A015224, A015223, A014799. %K A014800 nonn,easy %O A014800 0,2 %A A014800 _Mohammad K. Azarian_