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A278333
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a(n) = A278332(n+1)/(n+1) for n>=0.
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1
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OFFSET
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0,3
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COMMENTS
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E.g.f. of A278332 equals the limit of the average of all permutations of the compositions of the functions x*exp(x^k), for k=1..n, as n increases.
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LINKS
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EXAMPLE
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E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 181*x^4/4! + 2111*x^5/5! + 31471*x^6/6! + 563305*x^7/7! + 11634169*x^8/8! + 275850685*x^9/9! +...
RELATED SERIES.
log(A(x)) = x + 2*x^2/2! + 15*x^3/3! + 96*x^4/4! + 1100*x^5/5! + 15870*x^6/6! + 278817*x^7/7! + 5558616*x^8/8! + 129258684*x^9/9! +...
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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