id:A110490 - OEIS Search Results

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Diagonal sums of a triangle based on the Catalan numbers.

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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; listen)

	OFFSET	`0,3`
	COMMENT	`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 A132364 A030238 this_sequence A132868 A056783 A071688` `Adjacent sequences: A110487 A110488 A110489 this_sequence A110491 A110492 A110493`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 22 2005`

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.

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