A123401 - OEIS

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A123401

Number of maximal chains in the Stanley lattice of order n.

1, 1, 1, 18, 32400, 17146080000, 5838929512416000000, 2371384771694500507545600000000, 1912347371757319698802901729638809600000000000, 4729554291048229774403876712233157022270603395072000000000000000, 52408889027141714669562863434538278134100104813558451332105036103680000000000000000000 (list; graph; refs; listen; history; internal format)

	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: A153301 A129042 A202155 * A201494 A079303 A159445` `Adjacent sequences: A123398 A123399 A123400 * A123402 A123403 A123404`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Oct 15 2006`

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Last modified February 14 19:37 EST 2012. Contains 205663 sequences.