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A008791
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a(n) = n^(n+5).
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14
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0, 1, 128, 6561, 262144, 9765625, 362797056, 13841287201, 549755813888, 22876792454961, 1000000000000000, 45949729863572161, 2218611106740436992, 112455406951957393129, 5976303958948914397184, 332525673007965087890625
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.(x): T*(1 + 52*T + 328*T^2 + 444*T^3 + 120*T^4)*(1-T)^(-11); where T=T(x) is Euler's tree function (see A000169). - Len Smiley, Nov 17 2001
E.g.f.: d^5/dx^5 {x^5/(T(x)^5*(1-T(x))}, where T(x) = sum {n >= 1} n^(n-1)*x^n/n! is the tree function of A000169. - Peter Bala, Aug 05 2012
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MAPLE
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MATHEMATICA
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PROG
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CROSSREFS
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Cf. A000169, A000272, A000312, A007778, A007830, A008785, A008786, A008787, A008788, A008789, A008790.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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