OFFSET
28,2
COMMENTS
Coordination sequence for 28-dimensional cyclotomic lattice Z[zeta_29].
LINKS
T. D. Noe, Table of n, a(n) for n = 28..1000
Matthias Beck and Serkan Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv:math/0508136 [math.CO], 2005-2006.
Index entries for linear recurrences with constant coefficients, signature (29, -406, 3654, -23751, 118755, -475020, 1560780, -4292145, 10015005, -20030010, 34597290, -51895935, 67863915, -77558760, 77558760, -67863915, 51895935, -34597290, 20030010, -10015005, 4292145, -1560780, 475020, -118755, 23751, -3654, 406, -29, 1).
FORMULA
G.f.: x^28/(1-x)^29. - Zerinvary Lajos, Aug 18 2008; adapted to offset by Enxhell Luzhnica, Jan 21 2017
From Amiram Eldar, Dec 12 2020: (Start)
Sum_{n>=28} 1/a(n) = 28/27.
MAPLE
seq(binomial(n, 28), n=28..53); # Zerinvary Lajos, Aug 18 2008
MATHEMATICA
Table[Binomial[n, 28], {n, 28, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)
PROG
(Magma) [Binomial(n, 28): n in [28..60]]; // Vincenzo Librandi, Jun 12 2013
(PARI) x='x+O('x^50); Vec(x^28/(1-x)^29) \\ G. C. Greubel, Nov 23 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved