OFFSET
36,2
COMMENTS
Coordination sequence for 36-dimensional cyclotomic lattice Z[zeta_37].
LINKS
T. D. Noe, Table of n, a(n) for n = 36..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 (37, -666, 7770, -66045, 435897, -2324784, 10295472, -38608020, 124403620, -348330136, 854992152, -1852482996, 3562467300, -6107086800, 9364199760, -12875774670, 15905368710, -17672631900, 17672631900, -15905368710, 12875774670, -9364199760, 6107086800, -3562467300, 1852482996, -854992152, 348330136, -124403620, 38608020, -10295472, 2324784, -435897, 66045, -7770, 666, -37, 1).
FORMULA
G.f.: x^36/(1-x)^37. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 23 2017
From Amiram Eldar, Dec 12 2020: (Start)
Sum_{n>=36} 1/a(n) = 36/35.
MAPLE
seq(binomial(n, 36), n=36..55); # Zerinvary Lajos, Dec 19 2008
MATHEMATICA
Table[Binomial[n, 36], {n, 36, 66}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)
PROG
(Magma) [Binomial(n, 36): n in [36..70]]; // Vincenzo Librandi, Jun 12 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved