%I #21 May 28 2023 10:32:46
%S 1,13,85,377,1239,3291,7503,15275,28517,49729,82081,129493,196715,
%T 289407,414219,578871,792233,1064405,1406797,1832209,2354911,2990723,
%U 3757095,4673187,5759949,7040201,8538713
%N Crystal ball sequence for squashed {D_5}^* lattice, perhaps the smallest example of a "non-superficial" lattice.
%H T. D. Noe, <a href="/A010025/b010025.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Cor#crystal_ball">Index entries for crystal ball sequences</a>
%H 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 <a href="/index/Cor#crystal_ball">Index entries for crystal ball sequences</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F From _Gopinath A. R._, Feb 14 2012, (Start)
%F G.f.: (x^5+7*x^4+42*x^3+22*x^2+7*x+1)/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-6*x+1).
%F E.g.f.: 1/12*(8*x^5+95*x^4+320*x^3+360*x^2+144*x+12)*exp(x). (End)
%p 2/3*n^5+5/4*n^4+5/2*n^3+15/4*n^2+23/6*n+1;
%K nonn
%O 0,2
%A _N. J. A. Sloane_.