A276774 Triangle read by rows: Ranks of ideals in Partial Brauer Monoid PB_n.

1, 1, 2, 2, 3, 3, 4, 6, 6, 4, 10, 19, 12, 11, 4, 26, 50, 55, 20, 16, 4, 76, 171, 150, 125, 30, 22, 4, 232, 532, 651, 350, 245, 42, 29, 4, 764, 1961, 2128, 1876, 700, 434, 56, 37, 4, 2620, 6876, 9297, 6384, 4536, 1260, 714, 72, 46, 4, 9496, 27145, 34380, 32565, 15960, 9702, 2100, 1110, 90, 56, 4

Offset

0,3

Links

Table of n, a(n) for n=0..65.

I Dolinka, J East, RD Gray, Motzkin monoids and partial Brauer monoids, arXiv preprint arXiv:1512.02279, 2015. See Table 3.

Example

Triangle begins:
1,
1,2,
2,3,3,
4,6,6,4,
10,19,12,11,4,
26,50,55,20,16,4,
76,171,150,125,30,22,4,
232,532,651,350,245,42,29,4,
764,1961,2128,1876,700,434,56,37,4,
2620,6876,9297,6384,4536,1260,714,72,46,4,
9496,27145,34380,32565,15960,9702,2100,1110,90,56,4,
...

Crossrefs

Sequence in context: A368643 A133948 A078935 * A129768 A210715 A072926

Adjacent sequences: A276771 A276772 A276773 * A276775 A276776 A276777

Keyword

nonn,tabl

Author

N. J. A. Sloane, Sep 17 2016

Status

approved