A110490 - OEIS

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A110490

Diagonal sums of a triangle based on the Catalan numbers.

1, 1, 3, 7, 20, 59, 185, 600, 2003, 6833, 23727, 83606, 298313, 1076155, 3920823, 14416987, 53482012, 200151737, 755894009, 2882782933, 11115015138, 43400057683, 172016505877, 694208585423, 2863726993748, 12130698802645 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`Diagonal sums of A110488.`
	FORMULA	`a(n)=sum{k=0..floor(n/2), sum{j=0..n-2k, (k-1)^jC(2(n-2k)+1, n-2k-j)2*(j+1)/(n-2k+j+2)}}`
	CROSSREFS	`Sequence in context: A084204 A030238 A132364 * A132868 A056783 A176697` `Adjacent sequences: A110487 A110488 A110489 * A110491 A110492 A110493`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 22 2005`

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.