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A008359
Coordination sequence for D_7 lattice.
2
1, 84, 1498, 11620, 55650, 195972, 559258, 1371316, 2999682, 6003956, 11193882, 19695172, 33023074, 53163684, 82663002, 124723732, 183309826, 263258772, 370401626, 511690788, 695335522
OFFSET
0,2
LINKS
M. Baake and U. Grimm, Coordination sequences for root lattices and related graphs, arXiv:cond-mat/9706122 [cond-mat.stat-mech], 1997; Zeit. f. Kristallographie, 212 (1997), 253-256
R. Bacher, P. de la Harpe and B. Venkov, Séries de croissance et séries d'Ehrhart associées aux réseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
FORMULA
G.f.: (x+1)*(x^6 + 76*x^5 + 855*x^4 + 2008*x^3 + 855*x^2 + 76*x + 1)/(1-x)^7. [Colin Barker, Sep 26 2012; corrected by Georg Fischer, May 19 2019]
MAPLE
484/45*n^6+392/9*n^4+1246/45*n^2+2;
CROSSREFS
A row of array A103903.
Sequence in context: A277784 A105942 A219476 * A359934 A166847 A219938
KEYWORD
nonn,easy
STATUS
approved