A210633 G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E_7.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 6, 12, 25, 44, 79, 128, 208, 318, 483, 704, 1019, 1430, 1992, 2712, 3664, 4862, 6407, 8320, 10735, 13686, 17344, 21760, 27153, 33592, 41353, 50532, 61468, 74290, 89415, 107008, 127576, 151332, 178882, 210496, 246898, 288420, 335920, 389808, 451088, 520260

Offset

0,20

Links

Table of n, a(n) for n=0..59.

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^18*f(1)^2*f(2)^3*f(3)^2*f(4) where f(k)=1/(1-x^k).

G.f.: x^18/((1-x)^2*(1-x^2)^3*(1-x^3)^2*(1-x^4)). - Colin Barker, Jul 22 2013

Crossrefs

Sequence in context: A228816 A294565 A210068 * A304710 A137829 A262196

Adjacent sequences: A210630 A210631 A210632 * A210634 A210635 A210636

Keyword

nonn,easy

Author

N. J. A. Sloane, Mar 25 2012

Status

approved