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A355235
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E.g.f. A(x) satisfies A'(x) = 1 - log(1-x) * A(2*x)/2.
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0
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0, 1, 0, 2, 3, 40, 230, 4664, 69160, 2692320, 92337072, 7377183360, 561596031744, 94107667481472, 15571512343805184, 5506994273113257984, 1955013641428681233408, 1459378050438033715961856, 1101502067162420292961916928
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OFFSET
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0,4
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LINKS
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FORMULA
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a(0) = 0, a(1) = 1; a(n+1) = Sum_{k=1..n-1} 2^(n-k-1) * (k-1)! * binomial(n,k) * a(n-k).
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PROG
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(PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i-1, 2^(i-j-1)*(j-1)!*binomial(i, j)*v[i-j])); concat(0, v);
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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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