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A357592 Number of edges of the Minkowski sum of n simplices with vertices e_(i+1), e_(i+2), e_(i+3) for i=0,...,n-1, where e_i is a standard basis vector. 0
3, 11, 34, 96, 260, 683, 1757, 4447, 11114, 27493 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
L. Escobar, P. Gallardo, J. González-Anaya, J. L. González, G. Montúfar, and A. H. Morales, Enumeration of max-pooling responses with generalized permutohedra, arXiv:2209.14978 [math.CO], 2022. (See Table 2)
PROG
(Sage) def a(n): return len(PP(n, 3, 1).graph().edges())
def Delta(I, n):
IM = identity_matrix(n)
return Polyhedron(vertices=[IM[e] for e in I], backend='normaliz')
def Py(n, SL, yL):
return sum(yL[i]*Delta(SL[i], n) for i in range(len(SL)))
def PP(n, k, s):
SS = [set(range(s*i, k+s*i)) for i in range(n)], [1, ]*(n)
return Py(s*(n-1)+k, SS[0], SS[1])
[a(n) for n in range(1, 4)]
CROSSREFS
Sequence in context: A247103 A036542 A084266 * A052471 A037496 A355364
KEYWORD
nonn,hard,more
AUTHOR
STATUS
approved

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Last modified July 24 02:45 EDT 2024. Contains 374575 sequences. (Running on oeis4.)