id:A105696 - OEIS Search Results

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Expansion of (1-x)/sqrt((1-3x)/(1+x)).

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1, 1, 2, 6, 16, 44, 122, 342, 966, 2746, 7846, 22514, 64836, 187288, 542438, 1574666, 4580400, 13347324, 38956182, 113861922, 333226560, 976353876, 2863756158, 8407877394, 24707200854, 72663608178, 213864889770, 629893319902 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Apply the Riordan array (1-x,x/(1+x)) to C(2n,n).`
	FORMULA	`a(n)=A002426(n)-A002426(n-2); a(n)=sum{k=0..floor(n/2), 2*C(n-2, k)C(n-k, k)}-C(1, n)`
	CROSSREFS	`Adjacent sequences: A105693 A105694 A105695 this_sequence A105697 A105698 A105699` `Sequence in context: A002605 A080953 A026134 this_sequence A074413 A055544 A126285`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 17 2005`

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Last modified May 22 15:55 EDT 2008. Contains 140006 sequences.

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