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Search: id:A063017
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| A063017 |
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Product of Catalan(n) and (3^n- 2^n +1)/2. |
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+0
2
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| 1, 3, 20, 165, 1484, 13986, 135960, 1352637, 13707980, 141061206, 1470489800, 15500280978, 164967244792, 1770548369700, 19143828730800, 208347968093085, 2280730450967820, 25096531231958670, 277445318198433000
(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)*(3^(n+1)-2^(n+1)+1)/2; o.g.f: -(sqrt(1-4x) - sqrt(1-8x)+ sqrt(1-12x) -1)/(4x)
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PROGRAM
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(PARI) { for (n=0, 200, a=binomial(2*n, n)/(n + 1)*(3^(n+1) - 2^(n+1) + 1)/2; write("b063017.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, A063016.
Sequence in context: A074560 A123355 A012882 this_sequence A145329 A051643 A154644
Adjacent sequences: A063014 A063015 A063016 this_sequence A063018 A063019 A063020
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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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Formula corrected by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 16 2009
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