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A123401
Number of maximal chains in the Stanley lattice of order n.
0
1, 1, 1, 18, 32400, 17146080000, 5838929512416000000, 2371384771694500507545600000000, 1912347371757319698802901729638809600000000000, 4729554291048229774403876712233157022270603395072000000000000000, 52408889027141714669562863434538278134100104813558451332105036103680000000000000000000
OFFSET
0,4
REFERENCES
D. E. Knuth, TAOCP, Section 7.2.1.6, Problem 34.
FORMULA
(n*(n-1)/2)! * Product( (2*i-1)^(n-i),i=1..n-1).
MAPLE
f:=n-> (n*(n-1)/2)! * mul( (2*i-1)^(n-i), i=1..n-1);
CROSSREFS
Sequence in context: A202155 A296653 A255406 * A201494 A079303 A159445
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 15 2006
STATUS
approved