A140713 Triangle read by rows: T(n,k) is the number of white corners of rank k in all the permutations of {1,2,...,n} (n>=2, 0<=k<=n-2; for definitions see the Eriksson-Linusson references).

1, 5, 1, 26, 9, 2, 154, 70, 26, 6, 1044, 562, 268, 102, 24, 8028, 4860, 2700, 1308, 504, 120, 69264, 45756, 28224, 15828, 7728, 3000, 720

Offset: 2

Author

Emeric Deutsch, May 29 2008

Keywords

• nonn
• tabl
• more

Comments

Sum of row n is A140712(n).

T(n,0) = A001705(n-1).

T(n,n-2) = (n-2)!.

Examples

			Triangle starts:
1;
5,1;
26,9,2;
154,70,26,6;
1044,562,268,102,24;
		

References

• K. Eriksson and S. Linusson. Combinatorics of Fulton's essential set. Duke Mathematical Journal 85(1):61-76, 1996.

Links

• K. Eriksson and S. Linusson, The size of Fulton's essential set, Electronic J. Combinatorics, Vol. 2, #R6, 1995.
• K. Eriksson and S. Linusson, Combinatorics of Fulton's essential set, ResearchGate, 1998.

Crossrefs

Cf. A001705, A140711, A140712.