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 A016803 #28 Oct 04 2024 06:28:22 %S A016803 0,64,512,1728,4096,8000,13824,21952,32768,46656,64000,85184,110592, %T A016803 140608,175616,216000,262144,314432,373248,438976,512000,592704, %U A016803 681472,778688,884736,1000000,1124864,1259712,1404928,1560896,1728000,1906624,2097152 %N A016803 a(n) = (4*n)^3. %C A016803 Volume of a cube with side 4n. - _Wesley Ivan Hurt_, Jul 05 2014 %H A016803 Vincenzo Librandi, <a href="/A016803/b016803.txt">Table of n, a(n) for n = 0..1000</a> %H A016803 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A016803 G.f.: 64*x*(1 + 4*x + x^2)/(1 - x)^4. - _Vincenzo Librandi_, Jul 05 2014 %F A016803 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. - _Vincenzo Librandi_, Jul 05 2014 %F A016803 a(n) = 64 * A000578(n). - _Wesley Ivan Hurt_, Jul 05 2014 %p A016803 A016803:=n->64*n^3: seq(A016803(n), n=0..40); # _Wesley Ivan Hurt_, Jul 05 2014 %t A016803 Table[64 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[64 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* _Vincenzo Librandi_, Jul 05 2014 *) %o A016803 (Magma) [64*n^3: n in [0..40]]; // _Vincenzo Librandi_, Jul 05 2014 %Y A016803 Cf. A000578. %Y A016803 Cf. similar sequences listed in A244725. %K A016803 nonn,easy %O A016803 0,2 %A A016803 _N. J. A. Sloane_