A126905 Coordination sequence for 20-dimensional cyclotomic lattice Z[zeta_25].

1, 20, 210, 1540, 8855, 42504, 177100, 657800, 2220075, 6906900, 20030015, 54627400, 141121575, 347381300, 818853475, 1856180040, 4060814450, 8600785600, 17683732275, 35379798300, 69023414470, 131555545100, 245368274925, 448512194200, 804566566400, 1418111742696, 2458663592770, 4197240732960

Offset

0,2

Links

Table of n, a(n) for n=0..27.

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

Index entries for linear recurrences with constant coefficients, signature (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).

Formula

G.f.: (x^10+1)^5/(1-x)^20.

Crossrefs

Sequence in context: A162640 A060853 A010972 * A341236 A022585 A007744

Adjacent sequences: A126902 A126903 A126904 * A126906 A126907 A126908

Keyword

nonn

Author

N. J. A. Sloane, Mar 18 2007

Status

approved