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A055308
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Number of labeled rooted trees with n nodes and 7 leaves.
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1
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8, 9144, 2178000, 270111600, 23449219200, 1635398519040, 98861289246720, 5425893817344000, 278673669001728000, 13673851998782976000, 650477329618365849600, 30322668859342072012800
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OFFSET
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8,1
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LINKS
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FORMULA
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a(n) = n! * (n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(63*n^5 - 1890*n^4 + 22365*n^3 - 130186*n^2 + 371672*n - 414720)/14631321600. - Vaclav Kotesovec, Jul 25 2014
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MATHEMATICA
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Table[n! * (n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(63*n^5 - 1890*n^4 + 22365*n^3 - 130186*n^2 + 371672*n - 414720)/14631321600, {n, 8, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)
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PROG
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(Magma) [Factorial(n)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(63*n^5- 1890*n^4+22365*n^3-130186*n^2+371672*n-414720)/14631321600: n in [8..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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