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Search: id:A156907
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| A156907 |
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G.f.: A(x) = 1 + x*exp( Sum_{k>=1} [A(2^k*x) - 1]^k/k ). |
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+0
4
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| 1, 1, 2, 18, 476, 38358, 11363548, 15060027956, 92500603618872, 2483766272252845670, 279689176516909339664044, 129570236404446129260308225372, 244562582019257683819447274838128648
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Conjectured to consist entirely of integers.
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EXAMPLE
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G.f.: A(x) = 1 + x + 2*x^2 + 18*x^3 + 476*x^4 + 38358*x^5 +...
...
A(x) = 1 + x*exp( [A(2x)-1] + [A(4x)-1]^2/2 + [A(8x)-1]^3/3 +... ).
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PROGRAM
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(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=1, n, A=1+x*exp(sum(k=1, n, (subst(A, x, 2^k*x+x*O(x^n))-1)^k/k))); polcoeff(A, n)}
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CROSSREFS
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Cf. A156908.
Sequence in context: A152684 A141074 A082402 this_sequence A053916 A015203 A121936
Adjacent sequences: A156904 A156905 A156906 this_sequence A156908 A156909 A156910
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Mar 04 2009
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