A158142 - OEIS

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A158142

Number of nondecreasing integer sequences of length 8 with sum zero and sum of absolute values 2n.

1, 4, 9, 25, 46, 103, 163, 307, 478, 791, 1143, 1818, 2495, 3663, 4994, 7002, 9154, 12532, 15986, 21200, 26726, 34398, 42532, 54145, 65791, 81872, 98871, 121163, 144174, 175083, 206075, 246947, 289116, 342271, 397027, 467462, 537495, 626427 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`a(n) = A000041(n)^2 for n<=4` `a(n) = A000041(n)^2 - cumulative A000712(2n-1-length), 0 <= 2n-1-length <= floor(n/2) [empirical].`
	LINKS	`R. H. Hardin, Table of n, a(n) for n=1..689`
	CROSSREFS	`Sequence in context: A063760 A130448 A046451 * A158143 A082200 A063482` `Adjacent sequences: A158139 A158140 A158141 * A158143 A158144 A158145`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin (rhhardin(AT)att.net) Mar 13 2009`

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.