OFFSET
42,2
COMMENTS
Coordination sequence for 42-dimensional cyclotomic lattice Z[zeta_43].
LINKS
T. D. Noe, Table of n, a(n) for n = 42..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 (43, -903, 12341, -123410, 962598, -6096454, 32224114, -145008513, 563921995, -1917334783, 5752004349, -15338678264, 36576848168, -78378960360, 151532656696, -265182149218, 421171648758, -608359048206, 800472431850, -960566918220, 1052049481860, -1052049481860, 960566918220, -800472431850, 608359048206, -421171648758, 265182149218, -151532656696, 78378960360, -36576848168, 15338678264, -5752004349, 1917334783, -563921995, 145008513, -32224114, 6096454, -962598, 123410, -12341, 903, -43, 1).
FORMULA
G.f.: x^42/(1-x)^43. - Zerinvary Lajos, Dec 20 2008
From Amiram Eldar, Dec 15 2020: (Start)
Sum_{n>=42} 1/a(n) = 42/41.
MAPLE
seq(binomial(n, 42), n=42..57); # Zerinvary Lajos, Dec 20 2008
MATHEMATICA
Table[Binomial[n, 42], {n, 42, 70}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)
PROG
(Magma) [Binomial(n, 42): n in [42..70]]; // Vincenzo Librandi, Jun 12 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved