id:A063016 - OEIS Search Results

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Product of Catalan(n) and (2^(n+1) -1).

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0, 1, 3, 14, 75, 434, 2646, 16764, 109395, 730730, 4973826, 34381412, 240728670, 1703826292, 12170930700, 87633375480, 635351667075, 4634365164570, 33985474184970, 250419761106900, 1853107999454250, 13765951702923420 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n) = Catalan(n)*(2^(n+1)-1); a(n) = 2 (2 n - 3) (3 (n - 1) a(n-1) - 4 (2 n - 5) a(n-2))/( n (n - 1)); o.g.f: (sqrt(1-4x) - sqrt(1-8x))/2.`
	CROSSREFS	`Cf. A000108, A063017.` `Sequence in context: A074549 A126122 A026004 this_sequence A133798 A100937 A048779` `Adjacent sequences: A063013 A063014 A063015 this_sequence A063017 A063018 A063019`
	KEYWORD	`easy,nonn`
	AUTHOR	`Olivier Gerard (olivier.gerard(AT)gmail.com), Jul 04 2001`

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Last modified December 4 14:15 EST 2008. Contains 151279 sequences.

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