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A245504
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Number of endofunctions f on [n] such that f^8(i) = f(i) for all i in [n];
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2
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1, 1, 3, 10, 41, 196, 1057, 7042, 87473, 2004328, 50881121, 1200507694, 26179091017, 538344201292, 10635924720449, 204889902343666, 3902206399428833, 74966895289570768, 1511315984060460865, 34267718094037895638, 937490346932078590841, 30931366331911427839156
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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.: exp(x*exp(x)+x^7*exp(x)^7/7).
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MAPLE
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egf:= exp(x*exp(x)+x^7*exp(x)^7/7):
a:= n-> n!*coeff(series(egf, x, n+1), x, n):
seq(a(n), n=0..25);
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Exp[x Exp[x]+(x^7 Exp[x]^7)/7], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jan 10 2016 *)
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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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