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A273659
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Number of forests of labeled rooted trees of height at most 1, with n labels, nine of which are used for root nodes and any root may contain >= 1 labels.
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2
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21147, 948280, 24564100, 483787480, 8061693640, 120120836836, 1653807555400, 21489660580960, 267385444371760, 3218688299529560, 37768351403903120, 434451231603262640, 4920317819371507280, 55047363589643246360, 609969295304994614000, 6708182596868603027936
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OFFSET
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9,1
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LINKS
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FORMULA
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E.g.f.: x^9/9! * Sum_{j=0..9} Stirling2(9,j)*exp(x)^j.
a(n) = C(n,9) * Sum_{j=0..9} Stirling2(9,j) * j^(n-9).
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MAPLE
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a:= n-> binomial(n, 9)*add(Stirling2(9, j)*j^(n-9), j=0..9):
seq(a(n), n=9..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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