%I #29 Feb 07 2024 09:36:06
%S 1,181,6621,101241,903881,5590989,26515269,102908209,341661649,
%T 1001294629,2650436845,6447019305,14603375385,31126140605,62948716245,
%U 121608649569,225663101089,404083136149,700922413309,1181618464729,1941355693161,3115998965421,4896195782501
%N Crystal ball sequence for D_10 lattice.
%H T. D. Noe, <a href="/A008379/b008379.txt">Table of n, a(n) for n = 0..1000</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_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F a(n-1) = 676/4725*n^10-676/945*n^9+1168/315*n^8-664/63*n^7+1796/75*n^6-1708/45*n^5+41176/945*n^4-6568/189*n^3+29342/1575*n^2-634/105*n+1.
%F G.f.: (x^10+170*x^9+4685*x^8+38200*x^7+124850*x^6+183356*x^5+124850*x^4+38200*x^3+4685*x^2+170*x+1)/(1-x)^11. [_Colin Barker_, May 28 2012]
%p 676/4725*x^10-676/945*x^9+1168/315*x^8-664/63*x^7+1796/75*x^6-1708/45*x^5+41176/945*x^4-6568/189*x^3+29342/1575*x^2-634/105*x+1;
%o (Maxima) A008379(x):=676/4725*x^10-676/945*x^9+1168/315*x^8-664/63*x^7+1796/75*x^6-1708/45*x^5+41176/945*x^4-6568/189*x^3+29342/1575*x^2-634/105*x+1$
%o makelist(A008379(x),x,1,30); /* _Martin Ettl_, Oct 26 2012 */
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_ and _J. H. Conway_