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A035846 Coordination sequence for A_20 lattice. +0
1
1, 420, 44310, 2107140, 57671880, 1041949020, 13577591370, 135798494460, 1091481669390, 7302195414780, 41800229045610, 209294745286620, 933146517188760, 3759426449644740, 13853429338548630, 47171740235162340 (list; graph; listen)
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.

J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.

LINKS

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

FORMULA

sum_{d=1}^20 C(21, d) C(m/2-1, d-1) C(20-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A023911 A135340 A135380 this_sequence A046167 A059951 A028683

Adjacent sequences: A035843 A035844 A035845 this_sequence A035847 A035848 A035849

KEYWORD

nonn,easy

AUTHOR

Serra-Sagrista, Joan; jserra(AT)ccd.uab.es

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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