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A126902 Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta_21]. +0
1
1, 21, 231, 1764, 10479, 51450, 216531, 800121, 2642514, 7913619, 21754425, 55475826, 132425181, 298205544, 637710549, 1302463575, 2553071556, 4823274561, 8814149379, 15629570544, 26967111675, 45382254246, 74648134911, 120238185669, 189964987254 (list; graph; listen)
OFFSET

0,2

REFERENCES

M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.

FORMULA

G.f.: (x^12 + 9*x^11 + 45*x^10 + 158*x^9 + 432*x^8 + 909*x^7 + 1302*x^6 + 909*x^5 + 432*x^4 + 158*x^3 + 45*x^2 + 9*x + 1)/(x-1)^12.

CROSSREFS

Sequence in context: A027508 A020267 A064322 this_sequence A010973 A022586 A125409

Adjacent sequences: A126899 A126900 A126901 this_sequence A126903 A126904 A126905

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mar 17 2007

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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