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A000778
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a(n) = Catalan(n) + Catalan(n+1) - 1.
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2
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1, 2, 6, 18, 55, 173, 560, 1858, 6291, 21657, 75581, 266797, 950911, 3417339, 12369284, 45052514, 165002459, 607283489, 2244901889, 8331383609, 31030387439, 115948830659, 434542177289, 1632963760973, 6151850548775, 23229299473603, 87900903988155
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OFFSET
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0,2
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LINKS
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FORMULA
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D-finite with recurrence (n+2)*a(n) +(-5*n-4)*a(n-1) +(3*n+4)*a(n-2) +(5*n-16)*a(n-3) +2*(-2*n+7)*a(n-4)=0. - R. J. Mathar, Jun 17 2020
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MATHEMATICA
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Table[CatalanNumber[n] + CatalanNumber[n + 1] - 1, {n, 0, 200}] (* T. D. Noe, Jun 20 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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