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A055306
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Number of labeled rooted trees with n nodes and 5 leaves.
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1
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6, 1302, 101136, 5143824, 210198240, 7593173280, 255415628160, 8252203639680, 261173083691520, 8202954132172800, 257956727815987200, 8172268419809894400, 261973287647034163200, 8524055367713146060800
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OFFSET
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6,1
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LINKS
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FORMULA
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a(n) = n! * (n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^3 - 195*n^2 + 830*n - 1152)/691200. - Vaclav Kotesovec, Jul 25 2014
E.g.f: x^6*(1+22*x+58*x^2+24*x^3)/(120*(1-x)^9). - Robert Israel, Jul 25 2014
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MATHEMATICA
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Table[n! * (n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^3 - 195*n^2 + 830*n - 1152)/691200, {n, 6, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)
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PROG
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(Magma) [Factorial(n)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^3 - 195*n^2 + 830*n - 1152)/691200 : n in [6..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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