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 A035603 #42 Sep 08 2022 08:44:52 %S A035603 0,2,36,326,1992,9290,35436,115598,332688,864146,2060980,4573910, %T A035603 9545560,18892250,35704060,64797470,113461024,192441122,317222212, %U A035603 509663334,800061160,1229718378,1854105484,2746713774,4003707568 %N A035603 Number of points of L1 norm 9 in cubic lattice Z^n. %H A035603 Vincenzo Librandi, <a href="/A035603/b035603.txt">Table of n, a(n) for n = 0..1000</a> %H A035603 J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>). %H A035603 M. Janjic and B. Petkovic, <a href="http://arxiv.org/abs/1301.4550">A Counting Function</a>, arXiv preprint arXiv:1301.4550 [math.CO], 2013. - From N. J. A. Sloane, Feb 13 2013 %H A035603 M. Janjic, B. Petkovic, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL17/Janjic/janjic45.html">A Counting Function Generalizing Binomial Coefficients and Some Other Classes of Integers</a>, J. Int. Seq. 17 (2014) # 14.3.5. %H A035603 Joan Serra-Sagrista, <a href="http://dx.doi.org/10.1016/S0020-0190(00)00119-8">Enumeration of lattice points in l_1 norm</a>, Inf. Proc. Lett. 76 (1-2) (2000) 39-44. %H A035603 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1). %F A035603 a(n) = (4*n^9 + 168*n^7 + 1596*n^5 + 3272*n^3 + 630*n)/(5*7*9*9). - _Frank Ellermann_, Mar 16 2002 %F A035603 G.f.: 2*x*(1+x)^8/(1-x)^10. - _Colin Barker_, Apr 15 2012 %F A035603 a(n) = 2*A099196(n). - _R. J. Mathar_, Dec 10 2013 %p A035603 f := proc(d,m) local i; sum( 2^i*binomial(d,i)*binomial(m-1,i-1),i=1..min(d,m)); end; # n=dimension, m=norm %t A035603 CoefficientList[Series[2*x*(1+x)^8/(1-x)^10,{x,0,30}],x] (* _Vincenzo Librandi_, Apr 24 2012 *) %t A035603 LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{0,2,36,326,1992,9290,35436,115598,332688,864146},30] (* _Harvey P. Dale_, Jan 17 2021 *) %o A035603 (PARI) a(n)=(4*n^9+168*n^7+1596*n^5+3272*n^3+630*n)/2835 \\ _Charles R Greathouse IV_, Dec 07 2011 %o A035603 (Magma) [(4*n^9+168*n^7+1596*n^5+3272*n^3+630*n)/2835: n in [0..30]]; // _Vincenzo Librandi_, Apr 24 2012 %Y A035603 Cf. A035596-A035607. %K A035603 nonn,easy %O A035603 0,2 %A A035603 _N. J. A. Sloane_