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A126925 Coordination sequence for 24-dimensional cyclotomic lattice Z[zeta_35]. 0
1, 35, 630, 7770, 73815, 575750, 3838100, 22476335, 117954690, 563148425, 2474804920, 10104887030, 38627417045, 139109930330, 474457166470, 1539358947805, 4769099668900, 14155140694835, 40366668119890, 110883904213950, 294062886619075, 754451625256210 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

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

FORMULA

G.f.: (x^24 + 11*x^23 + 66*x^22 + 286*x^21 + 1001*x^20 + 2996*x^19 + 7896*x^18 + 18631*x^17 + 39671*x^16 + 76046*x^15 + 128726*x^14 + 185206*x^13 + 212926*x^12 + 185206*x^11 + 128726*x^10 + 76046*x^9 + 39671*x^8 + 18631*x^7 + 7896*x^6 + 2996*x^5 + 1001*x^4 + 286*x^3 + 66*x^2 + 11*x + 1)/(x-1)^24.

CROSSREFS

Sequence in context: A161648 A162149 A162384 * A010987 A178353 A202127

Adjacent sequences:  A126922 A126923 A126924 * A126926 A126927 A126928

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 18 2007

STATUS

approved

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Last modified December 2 19:57 EST 2021. Contains 349445 sequences. (Running on oeis4.)