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 A008388 Crystal ball sequence for A_6 lattice. 5

%I

%S 1,43,505,3067,12559,39733,104959,242845,507781,980407,1775005,

%T 3047815,5006275,7919185,12127795,18057817,26232361,37285795,51978529,

%U 71212723,96048919,127723597,167667655

%N Crystal ball sequence for A_6 lattice.

%C Partial sums of A008387.

%H T. D. Noe, <a href="/A008388/b008388.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/ldl7.txt">Abstract</a>, <a href="http://neilsloane.com/doc/ldl7.pdf">pdf</a>, <a href="http://neilsloane.com/doc/ldl7.ps">ps</a>).

%F a(n) = 1+7*n*(n+1)*(n^2+n+3)*(11*n^2+11*n+14)/60. - _T. D. Noe_, Apr 29 2007

%F G.f.: (1+36*x+225*x^2+400*x^3+225*x^4+36*x^5+x^6)/(1-x)^7. [_Colin Barker_, Mar 15 2012]

%o (Maxima) A008388[n]:=1+7*n*(n+1)*(n^2+n+3)*(11*n^2+11*n+14)/60\$

%o makelist(A008388[n],n,0,30); /* _Martin Ettl_, Oct 26 2012 */

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_ and _J. H. Conway_

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