

A264035


Triangle read by rows: T(n,k) (n>=0, k>=0) is the number of integer partitions lambda of n such that there are k partitions mu such that the GelfandTsetlin polytope for lambda and mu is nonintegral.


3



1, 1, 2, 3, 5, 5, 2, 6, 4, 1, 7, 2, 3, 2, 1, 8, 2, 3, 2, 3, 3, 0, 1
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OFFSET

0,3


COMMENTS

Row sums give A000041.


LINKS

Table of n, a(n) for n=0..22.
FindStat  Combinatorial Statistic Finder, Number of nonintegral GelfandTsetlin polytopes with prescribed top row and partition weight.
J. De Loera and T. B. McAllister, Vertices of GelfandTsetlin polytopes, arXiv:math/0309329 [math.CO], 2003, MathSciNet:2096742.


EXAMPLE

Triangle begins:
1,
1,
2,
3,
5,
5,2,
6,4,1,
7,2,3,2,1,
8,2,3,2,3,3,0,1,
...


CROSSREFS

Cf. A000041, A264047, A264048, A264049.
Sequence in context: A118141 A175210 A264047 * A082876 A096099 A019780
Adjacent sequences: A264032 A264033 A264034 * A264036 A264037 A264038


KEYWORD

nonn,tabf,more


AUTHOR

Christian Stump, Nov 01 2015


STATUS

approved



