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A064059
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Seventh column of Catalan triangle A009766.
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7
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132, 429, 1001, 2002, 3640, 6188, 9996, 15504, 23256, 33915, 48279, 67298, 92092, 123970, 164450, 215280, 278460, 356265, 451269, 566370, 704816, 870232, 1066648, 1298528, 1570800, 1888887, 2258739, 2686866, 3180372, 3746990, 4395118, 5133856, 5973044
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..32.
R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6
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FORMULA
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G.f.: (132-495*x+770*x^2-616*x^3+252*x^4-42*x^5)/(1-x)^7; numerator polynomial is N(2;5, x) from A062991.
a(n) = A009766(n+6, 6) = (n+1)*binomial(n+12,5)/6.
binomial(n+1,6)-2*binomial(n,5),n>=12. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 19 2006
a(n) = A214292(n+11,5). - Reinhard Zumkeller, Jul 12 2012
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MAPLE
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[seq(binomial(n+1, 6)-2*binomial(n, 5), n=12..55)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 19 2006
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MATHEMATICA
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CoefficientList[Series[(42 z^5-252 z^4+616 z^3-770 z^2+495 z-132)/(z-1)^7, {z, 0, 200}], z] (* From Vladimir Joseph Stephan Orlovsky, Jun 22 2011 *)
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CROSSREFS
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A000096, A005586, A005587, A005557 (third to sixth column).
Sequence in context: A035141 A205222 A116154 * A204834 A115132 A158543
Adjacent sequences: A064056 A064057 A064058 * A064060 A064061 A064062
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang, Sep 13 2001
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STATUS
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approved
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