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%I #20 Oct 09 2016 09:34:16
%S 1,41,411,2051,6981,18733,42783,86983,161993,281713,463715,729675,
%T 1105805,1623285,2318695,3234447,4419217,5928377,7824427,10177427,
%U 13065429,16574909,20801199,25848919
%N Crystal ball sequence for D_5 lattice.
%H T. D. Noe, <a href="/A008356/b008356.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/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F G.f.: (1+x)*(1+34*x+146*x^2+34*x^3+x^4)/(1-x)^6. [Colin Barker, Mar 16 2012]
%p 18/5*n^5+9*n^4+38/3*n^3+10*n^2+71/15*n+1;
%t CoefficientList[Series[(1+x)*(1+34*x+146*x^2+34*x^3+x^4)/(1-x)^6,{x,0,30}],x] (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1,41,411,2051,6981,18733},30] (* _Harvey P. Dale_, Sep 03 2016 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_ and _J. H. Conway_
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