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A240683
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Number of forests with n labeled nodes and 6 trees.
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3
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1, 21, 378, 7056, 143325, 3207897, 79170399, 2146836978, 63641666088, 2051450651250, 71530799628288, 2684845732979592, 107992630908804096, 4636019437800293718, 211623646464000000000, 10237455825414473977524, 523244238837133507448832, 28177157277452320985386539
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OFFSET
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6,2
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LINKS
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FORMULA
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a(n) = n^(n-12) * (n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(n^5 + 40*n^4 + 835*n^3 + 10960*n^2 + 87636*n + 332640)/3840. - Vaclav Kotesovec, Sep 06 2014
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MAPLE
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T:= proc(n, m) option remember; `if`(n<0, 0, `if`(n=m, 1,
`if`(m<1 or m>n, 0, add(binomial(n-1, j-1)*j^(j-2)*
T(n-j, m-1), j=1..n-m+1))))
end:
a:= n-> T(n, 6):
seq(a(n), n=6..30);
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MATHEMATICA
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Table[n^(n-12) * (n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(n^5 + 40*n^4 + 835*n^3 + 10960*n^2 + 87636*n + 332640)/3840, {n, 6, 25}] (* Vaclav Kotesovec, Sep 06 2014 *)
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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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