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A273655
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Number of forests of labeled rooted trees of height at most 1, with n labels, five of which are used for root nodes and any root may contain >= 1 labels.
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2
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52, 906, 9891, 87416, 686826, 5020092, 35006202, 236460312, 1562226237, 10158790642, 65294141913, 415967090448, 2631510433188, 16551428673528, 103578621308388, 645186720537744, 4000912828433199, 24700465510596414, 151810205132056779, 928768921758036744
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OFFSET
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5,1
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LINKS
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FORMULA
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E.g.f.: x^5/5! * Sum_{j=0..5} Stirling2(5,j)*exp(x)^j.
a(n) = C(n,5) * Sum_{j=0..5} Stirling2(5,j) * j^(n-5).
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MAPLE
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a:= n-> binomial(n, 5)*add(Stirling2(5, j)*j^(n-5), j=0..5):
seq(a(n), n=5..40);
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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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