id:A081181 - OEIS Search Results

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Staircase on Pascal's triangle.

+0
4

1, 3, 6, 20, 35, 126, 210, 792, 1287, 5005, 8008, 31824, 50388, 203490, 319770, 1307504, 2042975, 8436285, 13123110, 54627300, 84672315, 354817320, 548354040, 2310789600, 3562467300, 15084504396, 23206929840, 98672427616, 151532656696 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Arrange Pascal's triangle as a square array. A081181 is then a diagonal staircase on the square array. A companion staircase is given by A065942.`
	FORMULA	`a(n) = binomial(floor((n + 1)/2) + (n + 1), n).`
	CROSSREFS	`Sequence in context: A052393 A024607 A058818 this_sequence A062164 A052408 A148573` `Adjacent sequences: A081178 A081179 A081180 this_sequence A081182 A081183 A081184`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 11 2003`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

AT&T Labs Research