id:A110489 - OEIS Search Results

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Row sums of a triangle based on the Catalan numbers.

+0
2

1, 2, 5, 14, 43, 142, 497, 1828, 7037, 28326, 119361, 527748, 2454929, 12041410, 62354641, 340840118, 1963757863, 11896370734, 75549183725, 501393978466, 3467199478543, 24916100775758, 185646100106929, 1431332539961350 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Row sums of A110488.`
	FORMULA	`a(n)=sum{k=0..n, sum{j=0..n-k, (k-1)^jC(2(n-k)+1, n-k-j)2*(j+1)/(n-k+j+2)}}`
	CROSSREFS	`Adjacent sequences: A110486 A110487 A110488 this_sequence A110490 A110491 A110492` `Sequence in context: A126566 A112808 A088927 this_sequence A005425 A035349 A006789`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 22 2005`

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.

AT&T Labs Research