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A008401 Coordination sequence for {E_6}* lattice. 1
1, 54, 828, 5202, 20376, 60030, 146484, 312858, 605232, 1084806, 1830060, 2938914, 4530888, 6749262, 9763236, 13770090, 18997344, 25704918, 34187292, 44775666, 57840120, 73791774, 93084948 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908.

LINKS

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

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

M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908. [Annotated scanned copy]

FORMULA

a(n) = 6*n*(3*n^4+5*n^2+1), n>0.

MAPLE

G.f.: (1+48*x+519*x^2+1024*x^3+519*x^4+48*x^5+x^6)/(1-x)^6;

MATHEMATICA

Join[{1}, Table[18 n^5+30 n^3+6 n, {n, 30}]] Harvey P. Dale, May 16 2012

CROSSREFS

Sequence in context: A281775 A297865 A298132 * A247048 A280479 A107420

Adjacent sequences:  A008398 A008399 A008400 * A008402 A008403 A008404

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 20 08:44 EST 2019. Contains 320325 sequences. (Running on oeis4.)