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 A084382 #30 Apr 20 2025 13:20:41
%S A084382 6,7,14,33,70,131,222,349,518,735,1006,1337,1734,2203,2750,3381,4102,
%T A084382 4919,5838,6865,8006,9267,10654,12173,13830,15631,17582,19689,21958,
%U A084382 24395,27006,29797,32774,35943,39310,42881,46662,50659,54878,59325,64006,68927,74094
%N A084382 a(n) = n^3 + 6.
%H A084382 Vincenzo Librandi, <a href="/A084382/b084382.txt">Table of n, a(n) for n = 0..1000</a>
%H A084382 Cino Hilliard, <a href="https://web.archive.org/web/20080621104333/http://groups.msn.com:80/BC2LCC/n37ltk2.msnw">Proof that a cube plus 7 cannot be a square</a>.
%H A084382 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A084382 a(0)=6, a(1)=7, a(2)=14, a(3)=33; for n >= 4, a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - _Harvey P. Dale_, Aug 08 2013
%F A084382 G.f.: (6 - 17*x + 22*x^2 - 5*x^3)/(1 - x)^4. - _Vincenzo Librandi_, Jun 10 2016
%F A084382 E.g.f.: (6 + x + 3*x^2 + x^3)*exp(x). - _Elmo R. Oliveira_, Apr 20 2025
%t A084382 Table[n^3 + 6, {n, 0, 60}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 15 2011 *)
%t A084382 LinearRecurrence[{4, -6, 4, -1}, {6, 7, 14, 33}, 60] (* _Harvey P. Dale_, Aug 08 2013 *)
%o A084382 (PARI) a(n) = n^3 + 6;
%o A084382 (Magma) [n^3+6: n in [0..50]]; // _Vincenzo Librandi_, Jun 10 2016
%Y A084382 Cf. A000578, A084378, A084381.
%K A084382 nonn,easy
%O A084382 0,1
%A A084382 _Cino Hilliard_, Jun 23 2003
%E A084382 Offset 0 and a(0) = 6 from _Vincenzo Librandi_, Jun 10 2016