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Results tagged with co.combinatorics
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user 35587
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
3
votes
0
answers
341
views
Conjecture relating differential equation and sum of a function over partitions
The following is an addition to A function from partitions to natural numbers - is it familiar?; the function $f(\lambda)$ as defined there, when summed over all partitions of n, gives an unexpected h …
CommunityBot
- 1
6
votes
Accepted
Computing the lexicographic indices of integer partition
Lexicographic order seems more complex than reverse lexicographic order.
In reverse lex order, it becomes straightforward:
define p(n,k) as the number of partitions of n with largest part k (alternati …
- 136
2
votes
Sum over integer compositions
Your case p=1 seems to be http://oeis.org/A078812, just binomial(n+k-1, 2*k-1). See also the references to http://oeis.org/A078812.
The case p=-1 seems to be a variant of http://oeis.org/A048594, more …
- 136
1
vote
Statistics on partitions equidistributed with number of even parts
see http://OEIS.org/A002865 : "Number of partitions of n that do not contain 1 as a part".
- 136