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A140711 Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k white corners (0<=k<=n-1; for definition see the Eriksson-Linusson references). 2
1, 1, 1, 1, 4, 1, 1, 10, 12, 1, 1, 20, 62, 36, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,5

COMMENTS

Sum of entries in row n is n! (A000142).

Sum(k*T(n,k),k=0..n-1)=A140712(n).

REFERENCES

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. Duke Mathematical Journal 85(1):61-76, 1996.

EXAMPLE

Triangle starts:

1;

1,1;

1,4,1;

1,10,12,1;

1,20,62,36,1;

CROSSREFS

Cf. A000142, A140712.

Sequence in context: A202924 A142595 A174669 * A164366 A121692 A145271

Adjacent sequences:  A140708 A140709 A140710 * A140712 A140713 A140714

KEYWORD

more,nonn,tabl

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), May 28 2008

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.