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A359435
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a(n) = binomial(2*n-1,n) - n^2 - 1.
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2
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0, 18, 100, 425, 1666, 6370, 24228, 92277, 352594, 1351933, 5200130, 20058103, 77558534, 300539938, 1166802820, 4537567325, 17672631538, 68923264009, 269128936778, 1052049481375, 4116715363270, 16123801840973, 63205303218250, 247959266473375, 973469712823326
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OFFSET
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3,2
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COMMENTS
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a(n) is the number of ways to place n indistinguishable balls into n distinguishable boxes with at least 2 boxes remaining empty and not all balls placed in one box.
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LINKS
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MATHEMATICA
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Table[Binomial[2*n - 1, n] - n^2 - 1, {n, 3, 30}] (* Wesley Ivan Hurt, Jan 20 2024 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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