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Seiichi Manyama, <a href="/A355214/b355214.txt">Table of n, a(n) for n = 1..83</a>
E.g.f. A(x) satisfies A'(x)' = 1 + A(2 * log(1+x))/2.
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a(1) = 1; a(n+1) = Sum_{k=1..n} 2^(k-1) * Stirling1(n,k) * a(k).
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1, 1, 1, 0, -8, -64, -600, -14104, -1170120, -248815984, -115219852880, -111345726833056, -220485042541083808, -885633596688107274496, -7173767949430448755993856, -116777715174661360994951467008, -3812515511649504447203183936705536