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A055311
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Number of labeled rooted trees with n nodes and 10 leaves.
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1
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11, 135036, 148478616, 60841500720, 14441439612600, 2425616445732480, 321683306528263680, 36020400612748231680, 3559225274902019923200, 320000251320623922048000, 26762519467151924853196800
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OFFSET
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11,1
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LINKS
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FORMULA
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a(n) = n! * (n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576)/10113169489920000. - Vaclav Kotesovec, Jul 25 2014
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MATHEMATICA
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Table[n! * (n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576)/10113169489920000, {n, 11, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)
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PROG
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(Magma) [Factorial(n)*(n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576) / 10113169489920000: n in [11..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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