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A273660
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Number of forests of labeled rooted trees of height at most 1, with n labels, ten of which are used for root nodes and any root may contain >= 1 labels.
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2
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115975, 6188545, 188526162, 4324211606, 83234980829, 1422697691415, 22336690031656, 329296289467288, 4628083121855622, 62687799439000450, 824939949711312292, 10611095747493196956, 134039591449028959694, 1668916223557034160170, 20541239452587941670792
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OFFSET
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10,1
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LINKS
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FORMULA
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E.g.f.: x^10/10! * Sum_{j=0..10} Stirling2(10,j)*exp(x)^j.
a(n) = C(n,10) * Sum_{j=0..10} Stirling2(10,j) * j^(n-10).
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MAPLE
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a:= n-> binomial(n, 10)*add(Stirling2(10, j)*j^(n-10), j=0..10):
seq(a(n), n=10..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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