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Search: id:A063016
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| A063016 |
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Product of Catalan(n) and (2^(n+1) -1). |
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+0
2
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| 1, 3, 14, 75, 434, 2646, 16764, 109395, 730730, 4973826, 34381412, 240728670, 1703826292, 12170930700, 87633375480, 635351667075, 4634365164570, 33985474184970, 250419761106900, 1853107999454250, 13765951702923420
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,200
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FORMULA
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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.
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PROGRAM
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(PARI) { for (n=0, 200, a=(2^(n + 1) - 1)*binomial(2*n, n)/(n + 1); write("b063016.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 16 2009]
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CROSSREFS
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Cf. A000108, A063017.
Sequence in context: A074549 A126122 A026004 this_sequence A133798 A100937 A048779
Adjacent sequences: A063013 A063014 A063015 this_sequence A063017 A063018 A063019
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KEYWORD
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easy,nonn
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com), Jul 04 2001
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EXTENSIONS
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Initial term 0 removed by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 16 2009
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