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A206151
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G.f.: exp( Sum_{n>=1} A206152(n)*x^n/n ), where A206152(n) = Sum_{k=0..n} binomial(n,k)^(n+k).
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5
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1, 2, 7, 120, 16257, 22426576, 181974299842, 15238138790731690, 8413234043413844801094, 36597622942948070873495055416, 1557743574279376981523155294991683637, 377269728353963189455845962558983304322979834
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OFFSET
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0,2
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COMMENTS
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Logarithmic derivative yields A206152.
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LINKS
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EXAMPLE
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G.f.: A(x) = 1 + 2*x + 7*x^2 + 120*x^3 + 16257*x^4 + 22426576*x^5 +...
where the logarithm of the g.f. begins:
log(A(x)) = 2*x + 10*x^2/2 + 326*x^3/3 + 64066*x^4/4 + 111968752*x^5/5 +...+ A206152(n)*x^n/n +...
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PROG
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(PARI) {a(n)=polcoeff(exp(sum(m=1, n+1, x^m/m*sum(k=0, m, binomial(m, k)^(m+k))+x*O(x^n))), n)}
for(n=0, 16, print1(a(n), ", "))
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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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