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A008385 Coordination sequence for A_5 lattice. 4
1, 30, 240, 1010, 2970, 7002, 14240, 26070, 44130, 70310, 106752, 155850, 220250, 302850, 406800, 535502, 692610, 882030, 1107920, 1374690, 1687002, 2049770, 2468160, 2947590, 3493730, 4112502, 4810080, 5592890, 6467610, 7441170, 8520752 (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 (5, -10, 10, -5, 1).

FORMULA

G.f.: (1+x)*(1+24*x+76*x^2+24*x^3+x^4)/(1-x)^5. [Colin Barker, Apr 13 2012]

MAPLE

21/2*n^4+35/2*n^2+2;

PROG

(Maxima) A008385[n]:=21/2*n^4+35/2*n^2+2$

makelist(A008385[n], n, 0, 30); /* Martin Ettl, Oct 26 2012 */

CROSSREFS

Sequence in context: A196412 A081779 A069487 * A061167 A189495 A138404

Adjacent sequences:  A008382 A008383 A008384 * A008386 A008387 A008388

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified July 14 16:21 EDT 2020. Contains 335729 sequences. (Running on oeis4.)