A171737 Number of new extreme inequalities for the flag f-vectors of graded posets of rank n that do not come from those of lower ranks.

0, 0, 0, 1, 7, 665

Offset

1,5

Comments

The extremes represent the strongest linear inequalities holding for the flag f-vectors of graded posets of these ranks. The flag f-vector counts all chains having prescribed rank sets.

Links

Table of n, a(n) for n=1..6.

Billera, L. J. and G. Hetyei, Linear inequalities for flags in graded partially ordered sets, Journal of Combinatorial Theory, Series A, 89 (2000), 77-104. arXiv:math.CO/9706220.

Crossrefs

Sequence in context: A344049 A347507 A074282 * A013568 A174853 A228928

Adjacent sequences: A171734 A171735 A171736 * A171738 A171739 A171740

Keyword

nonn,more

Author

Louis J. Billera (billera(AT)cornell.edu), Oct 06 2010

Status

approved