A210632 G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E_8.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 6, 14, 21, 41, 60, 104, 150, 239, 337, 509, 701, 1014, 1371, 1916, 2544, 3461, 4520, 6011, 7738, 10092, 12821, 16449, 20646, 26108, 32418, 40474, 49760, 61430, 74840, 91461, 110507, 133818, 160452, 192699, 229422

Offset

0,33

Links

Table of n, a(n) for n=0..67.

Andreas Blass, Bruce E. Sagan, Characteristic and Ehrhart polynomials, arXiv:math/9801008 [math.CO], 1998.

Andreas Blass, Bruce E. Sagan, Characteristic and Ehrhart polynomials, J. Algebraic Combin. 7 (1998), no. 2, 115--126. MR1609889 (99c:05204)

Formula

G.f.: x^30*f(1)*f(2)^3*f(3)^2*f(4)^2*f(5)*f(6) where f(k)=1/(1-x^k).

G.f.: x^30 / ((x-1)^10 * (x+1)^6 * (x^2-x+1) * (x^2+1)^2 * (x^2+x+1)^3 * (x^4+x^3+x^2+x+1)). - Colin Barker, Jul 22 2013

Crossrefs

Sequence in context: A310651 A122555 A366217 * A097271 A126867 A027632

Adjacent sequences: A210629 A210630 A210631 * A210633 A210634 A210635

Keyword

nonn,easy

Author

N. J. A. Sloane, Mar 25 2012

Status

approved