The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A126898 Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_15]. 0
1, 15, 120, 675, 2940, 10425, 31320, 82365, 194520, 420795, 846600, 1602975, 2883060, 4962165, 8221800, 13178025, 20514480, 31120455, 46134360, 66992955, 95486700, 133821585, 184687800, 251335605, 337658760, 448285875, 588680040, 765247095 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
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 (8, -28, 56, -70, 56, -28, 8, -1).
FORMULA
G.f.: (x^8+7*x^7+28*x^6+79*x^5+130*x^4+79*x^3+28*x^2+7*x+1)/(1-x)^8.
MATHEMATICA
CoefficientList[Series[(x^8+7x^7+28x^6+79x^5+130x^4+79x^3+28x^2+7x+1)/(1-x)^8, {x, 0, 30}], x] (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 15, 120, 675, 2940, 10425, 31320, 82365, 194520}, 40] (* Harvey P. Dale, Oct 01 2023 *)
CROSSREFS
Sequence in context: A027484 A185542 A226989 * A162635 A247612 A010967
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 17 2007
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 10:34 EDT 2024. Contains 372760 sequences. (Running on oeis4.)