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 A063497 #31 Dec 26 2024 15:20:35
%S A063497 0,60,300,840,1800,3300,5460,8400,12240,17100,23100,30360,39000,49140,
%T A063497 60900,74400,89760,107100,126540,148200,172200,198660,227700,259440,
%U A063497 294000,331500,372060,415800,462840,513300,567300,624960,686400,751740,821100,894600
%N A063497 Number of atoms in first n shells of type I hyperfullerene.
%C A063497 The third derivative of the sum of 5th powers: A000539. - _Gregory R. Bryant_, Jun 14 2013
%D A063497 T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (14).
%H A063497 Harry J. Smith, <a href="/A063497/b063497.txt">Table of n, a(n) for n = 0..1000</a>
%H A063497 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A063497 a(n) = 20*n^3 + 30*n^2 + 10*n.
%F A063497 G.f.: 60*x * (1 + x)/(1 - x)^4. - _Colin Barker_, Mar 01 2012
%t A063497 Table[20n^3 + 30n^2 + 10n, {n, 0, 50}] (* _David Nacin_, Mar 01 2012 *)
%o A063497 (PARI) a(n) = { 20*n^3 + 30*n^2 + 10*n } \\ _Harry J. Smith_, Aug 23 2009
%o A063497 (Magma) [20*n^3 + 30*n^2 + 10*n : n in [0..50]]; // _Wesley Ivan Hurt_, May 03 2021
%Y A063497 Cf. A000539.
%K A063497 nonn,easy
%O A063497 0,2
%A A063497 _N. J. A. Sloane_, Aug 01 2001