id:A081204 - OEIS Search Results

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Staircase on Pascal's triangle.

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2

1, 2, 3, 10, 15, 56, 84, 330, 495, 2002, 3003, 12376, 18564, 77520, 116280, 490314, 735471, 3124550, 4686825, 20030010, 30045015, 129024480, 193536720, 834451800, 1251677700, 5414950296, 8122425444, 35240152720, 52860229080, 229911617056 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Arrange Pascal's triangle as a square array. A081204 is then a diagonal staircase on the square array.`
	FORMULA	`a(n)=binomial(ceiling((n)/2) + n, n).` `a(n)=sum{k=0..floor(n/2), binomial(n+k-1, k)}. - Paul Barry (pbarry(AT)wit.ie), Jul 06 2004`
	CROSSREFS	`Cf. A065942, A081181, A081205.` `Sequence in context: A108065 A026336 A027913 this_sequence A106672 A135061 A069156` `Adjacent sequences: A081201 A081202 A081203 this_sequence A081205 A081206 A081207`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 11 2003`

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Last modified September 5 23:51 EDT 2008. Contains 143485 sequences.

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