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A230316
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G.f. satisfies: A(x) = Sum_{n>=0} x^n * Product_{k=1..n} A(2^k*x).
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2
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1, 1, 3, 19, 235, 5611, 261387, 24036747, 4393513739, 1601446102795, 1165813783355659, 1696186361756285195, 4933983374364840587531, 28699669301301875112931595, 333847943551999970556459225355, 7766615964534009591489133873762571
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OFFSET
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0,3
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LINKS
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EXAMPLE
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G.f.: A(x) = 1 + x + 3*x^2 + 19*x^3 + 235*x^4 + 5611*x^5 + 261387*x^6 + ...
where
A(x) = 1 + x*A(2*x) + x^2*A(2*x)*A(4*x) + x^3*A(2*x)*A(4*x)*A(8*x) + ...
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PROG
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(PARI) {a(n, r=1)=local(A=1+x); for(i=1, n, A=1+sum(m=1, n, r^m*x^m*prod(k=1, m, subst(A, x, 2^k*x+x*O(x^n))))); polcoeff(A, n)}
for(n=0, 20, 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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