OFFSET
22,2
COMMENTS
Coordination sequence for 22-dimensional cyclotomic lattice Z[zeta_23].
LINKS
T. D. Noe, Table of n, a(n) for n = 22..1000
Matthias Beck and Serkan Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv:math/0508136 [math.CO], 2005-2006.
Milan Janjic, Two Enumerative Functions.
Index entries for linear recurrences with constant coefficients, signature (23, -253, 1771, -8855, 33649, -100947, 245157, -490314, 817190, -1144066, 1352078, -1352078, 1144066, -817190, 490314, -245157, 100947, -33649, 8855, -1771, 253, -23, 1).
FORMULA
a(n) = n/(n-22) * a(n-1), n > 22. - Vincenzo Librandi, Mar 26 2011
G.f.: x^22/(1-x)^23. - G. C. Greubel, Nov 23 2017
From Amiram Eldar, Dec 11 2020: (Start)
Sum_{n>=22} 1/a(n) = 22/21.
MAPLE
seq(binomial(n, 22), n=22..42); # Zerinvary Lajos, Aug 04 2008
MATHEMATICA
Binomial[Range[22, 50], 22] (* Harvey P. Dale, Apr 02 2011 *)
PROG
(Magma) [ Binomial(n, 22): n in [22..80]]; // Vincenzo Librandi, Mar 26 2011
(PARI) for(n=22, 50, print1(binomial(n, 22), ", ")) \\ G. C. Greubel, Nov 23 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved