id:A011818 - OEIS Search Results

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Normalized volume of center slice of n-dimensional cube: 2^n * n! * Vol({ x\in [ 0,1 ]: sum_{i=1}^n n/2 <= x_i <= (n+1)/2 }).

+0
2

1, 3, 16, 115, 1056, 11774, 154624, 2337507, 39984640, 763546234, 16101629952, 371644257582, 9319104528384, 252270887452380, 7332475985461248, 227761317947788323, 7529455986838732800, 263948439074152148450 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`V(d) = sum_{k=1}^{d-1} {d choose k-1} A_{d, k} where A_{k, d} denotes the Eulerian number (permutations of a d-set with k-1 descents) - see A008292.` `Restated: a(n) = Sum_{k=1..n} C(n,k-1)*A008292(n,k) for n>=1.`
	CROSSREFS	`Cf. A104098, A008292.` `Sequence in context: A042437 A159606 A036244 this_sequence A036248 A111555 A074522` `Adjacent sequences: A011815 A011816 A011817 this_sequence A011819 A011820 A011821`
	KEYWORD	`nonn`
	AUTHOR	`Guenter M. Ziegler (ziegler(AT)math.tu-berlin.de)`
	EXTENSIONS	`More terms from Paul Hanna, Mar 15 2006`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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