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A008357 Coordination sequence for D_6 lattice. 2
1, 60, 792, 4724, 18096, 52716, 127816, 271908, 524640, 938652, 1581432, 2537172, 3908624, 5818956, 8413608, 11862148, 16360128, 22130940, 29427672, 38534964, 49770864, 63488684, 80078856 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

R. Bacher, P. de la Harpe and B. Venkov, Series de croissance et series d'Ehrhart associees aux reseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

M. Baake and U. Grimm, Coordination sequences for root lattices and related graphs, arXiv:cond-mat/9706122, Zeit. f. Kristallographie, 212 (1997), 253-256

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

G.f.: (x^6+54*x^5+447*x^4+852*x^3+447*x^2+54*x+1)/(x-1)^6. [Colin Barker, Sep 26 2012]

MAPLE

4/15*n*(37+130*n^2+58*n^4);

CROSSREFS

A row of array A103903.

Sequence in context: A168307 A323566 A063011 * A259539 A138898 A229368

Adjacent sequences:  A008354 A008355 A008356 * A008358 A008359 A008360

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane and J. H. Conway

STATUS

approved

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Last modified August 25 04:05 EDT 2019. Contains 326318 sequences. (Running on oeis4.)