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A355093
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E.g.f. A(x) satisfies A(x) = 1 + 2 * (1 - exp(-x)) * A(1 - exp(-x)).
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4
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1, 2, 6, 14, -50, -838, 1730, 136530, -486826, -53845210, 608573414, 39761626434, -1250658124134, -39125693738246, 3470290682698798, 1980500546819286, -11592469556319388642, 475984934077375262394, 35772633977318034763762
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OFFSET
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0,2
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LINKS
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FORMULA
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E.g.f. A(x) satisfies: A(-log(1-x)) = 1 + 2*x*A(x).
a(0) = 1; a(n) = 2 * Sum_{k=1..n} (-1)^(n-k) * k * Stirling2(n,k) * a(k-1).
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PROG
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(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*sum(j=1, i, (-1)^(i-j)*j*stirling(i, j, 2)*v[j])); v;
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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