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4 questions
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Narayana polynomials as numerators of Ehrhart series rational functions?
The Narayana polynomials (OEIS A001263) are the h-polynomials of the associahedra (the Stasheff polytopes) and their dual simplicial polytopes (cf. the Fomin and Reading ref in the OEIS entry).
Are ...
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2
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1
answer
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Relating face polytopes of permutohedra to integer partitions
The OEIS entries A019538, A049019, and A133314, relate a refinement of the face polynomials of the permutohedra (A049019) to partition polynomials (A133314) defined by multiplicative inversion of an ...
- 10.5k
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Link of a power series by the Bernoullis for a Riccati equation to zonotopes?
On pg. 85 of The Rise and Development of Theory of Series up to the Early 1820s by Ferraro is a series soln. of
$$ d^2z/z = -x^2dx^2 $$
related to the reputed first appearance of a Riccati-type eqn.,...
CommunityBot
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3
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First to note/document the relation between permutohedra and multiplicative inversion
The relation between the refined face numbers of the permutohedra and the formal series expansion of the reciprocal of a function (exponential generating function, formal Taylor series) is given in ...
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