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 A010014 #56 May 13 2025 10:00:57
%S A010014 1,26,98,218,386,602,866,1178,1538,1946,2402,2906,3458,4058,4706,5402,
%T A010014 6146,6938,7778,8666,9602,10586,11618,12698,13826,15002,16226,17498,
%U A010014 18818,20186,21602,23066,24578,26138,27746,29402,31106,32858,34658,36506,38402,40346
%N A010014 a(0) = 1, a(n) = 24*n^2 + 2 for n>0.
%C A010014 Number of points of L_infinity norm n in the simple cubic lattice Z^3. - _N. J. A. Sloane_, Apr 15 2008
%C A010014 Numbers of cubes needed to completely "cover" another cube. - Xavier Acloque, Oct 20 2003
%C A010014 First bisection of A005897. After 1, all terms are in A000408. - _Bruno Berselli_, Feb 06 2012
%H A010014 Bruno Berselli, <a href="/A010014/b010014.txt">Table of n, a(n) for n = 0..1000</a>
%H A010014 Xavier Acloque, <a href="http://www.fortunecity.fr/polynexus/index.html">Polynexus Numbers and other mathematical wonders</a> [broken link]
%H A010014 Victor Kamel, Hanxueyu Yan, and Sean Chester, <a href="http://sean-chester.github.io/assets/preprints/ics-kamel-2025.pdf">CLOVER: A GPU-native, Spatio-graph-based Approach to Exact kNN</a>, ACM Int'l Conf. Supercomp. (ICS 2025). See p. 3.
%H A010014 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A010014 a(n) = (2*n+1)^3 - (2*n-1)^3 for n >= 1. - Xavier Acloque, Oct 20 2003
%F A010014 G.f.: (1+x)*(1+22*x+x^2)/(1-x)^3. - _Bruno Berselli_, Feb 06 2012
%F A010014 a(n) = (2*n-1)^2 + (2*n+1)^2 + (4*n)^2 for n>0. - _Bruno Berselli_, Feb 06 2012
%F A010014 E.g.f.: (x*(x+1)*24+2)*exp(x)-1. - _Gopinath A. R._, Feb 14 2012
%F A010014 a(n) = A005899(n) + A195322(n), n > 0. - _R. J. Cano_, Sep 29 2015
%F A010014 Sum_{n>=0} 1/a(n) = 3/4 + sqrt(3)/24*Pi*coth(Pi*sqrt(3)/6) = 1.065052868574... - _R. J. Mathar_, May 07 2024
%F A010014 a(n) = 2*A158480(n), n>0. - _R. J. Mathar_, May 07 2024
%F A010014 a(n) = A069190(n)+A069190(n+1). - _R. J. Mathar_, May 07 2024
%t A010014 Join[{1}, 24 Range[41]^2 + 2] (* _Bruno Berselli_, Feb 06 2012 *)
%o A010014 (PARI) a(n) = if (n==0, 1, 24*n^2 + 2);
%o A010014 vector(40, n, a(n-1)) \\ _Altug Alkan_, Sep 29 2015
%Y A010014 Cf. A206399.
%K A010014 nonn,easy
%O A010014 0,2
%A A010014 _N. J. A. Sloane_
%E A010014 More terms from Xavier Acloque, Oct 20 2003