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A019564 Coordination sequence for C_8 lattice. 6
1, 128, 2816, 27008, 157184, 658048, 2187520, 6140800, 15158272, 33830016, 69629696, 134110592, 244396544, 425000576, 710003968, 1145628544, 1793234944, 2732779648, 4066763520, 5924704640 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

M. Baake and U. Grimm, Coordination sequences for root lattices and related graphs, arXiv:cond-mat/9706122, 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, Annales de l'institut Fourier, Tome 49 (1999) no. 3 , p. 727-762.

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.

FORMULA

G.f.: (1+120*x+1820*x^2+8008*x^3+12870*x^4+8008*x^5+1820*x^6+120*x^7+x^8)/(1-x)^8 = 1+128*x* (x+1)^2*(x^2+6*x+1)^2/(x-1)^8.

a(n) = A008416(2*n). - Seiichi Manyama, Jun 08 2018

CROSSREFS

Cf. A008416.

Sequence in context: A297687 A221662 A250282 * A224163 A224414 A128802

Adjacent sequences:  A019561 A019562 A019563 * A019565 A019566 A019567

KEYWORD

nonn,easy

AUTHOR

mbaake(AT)sunelc3.tphys.physik.uni-tuebingen.de (Michael Baake)

STATUS

approved

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Last modified November 13 20:57 EST 2019. Contains 329106 sequences. (Running on oeis4.)