OFFSET
1,3
REFERENCES
B. Grünbaum, Convex Polytopes, Springer-Verlag, 2003, Second edition prepared by V. Kaibel, V. Klee and G. M. Ziegler, p. 121a.
LINKS
Éric Fusy, Counting d-polytopes with d+3 vertices, arXiv:math/0511466 [math.CO], 2005.
Éric Fusy, Counting d-polytopes with d+3 vertices, Electron. J. Comb. 13 (2006), no. 1, research paper R23, 25 pp.
E. K. Lloyd, The number of d-polytopes with d+3 vertices, Mathematika 17 (1970), 120-132.
Index entries for linear recurrences with constant coefficients, signature (2, 6, -14, -12, 38, 8, -54, 5, 44, -12, -20, 8, 4, -2).
FORMULA
G.f.: (2*x^11+4*x^10-2*x^9-15*x^8-5*x^7+23*x^6+15*x^5-17*x^4 -14*x^3 +4*x^2+5*x+1) *x^2 / ((-1+x)^5*(2*x^6-4*x^4+4*x^2-1)*(x+1)^3).
MATHEMATICA
LinearRecurrence[{2, 6, -14, -12, 38, 8, -54, 5, 44, -12, -20, 8, 4, -2}, {0, 1, 7, 24, 62, 141, 287, 561, 1035, 1886, 3319, 5838, 10030, 17323}, 32] (* Jean-François Alcover, Dec 14 2018 *)
PROG
(PARI) concat(0, Vec((2*x^11+4*x^10-2*x^9-15*x^8-5*x^7+23*x^6+15*x^5 -17*x^4-14*x^3+4*x^2 +5*x+1)*x^2/ (-1+x)^5/(2*x^6-4*x^4+4*x^2-1)/(x+1)^3 + O(x^50))) \\ Michel Marcus, Dec 12 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Éric Fusy (eric.fusy(AT)inria.fr), Nov 21 2005
STATUS
approved