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A055312
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Number of labeled rooted trees with n nodes and 11 leaves.
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1
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12, 319332, 571389000, 340433566200, 110475588787200, 24370164778901760, 4123399022616706560, 576081026260420262400, 69763488659968731264000, 7574128968889436413824000, 755406265592909947874457600
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OFFSET
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12,1
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LINKS
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FORMULA
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a(n) = n! * (n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000. - Vaclav Kotesovec, Jul 25 2014
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MATHEMATICA
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Table[n! * (n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000, {n, 12, 25}] (* Vaclav Kotesovec, Jul 25 2014 *)
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PROG
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(Magma) [Factorial(n)*(n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000: n in [12..25]]; // Vincenzo Librandi, Jul 25 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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