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Search: id:A097087
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| A097087 |
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Exponents of 2 in the unreduced denominators of coefficients A097086(n)/2^a(n)*1/n! in function F(x) that satisfies F(F(x)) = x*exp(x). |
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2
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| 0, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 6, 6, 7, 8, 6, 7, 8, 7, 8, 9, 6, 12, 10, 12, 13, 13, 15, 15, 16, 17, 13, 15, 16, 14, 16, 17, 18, 19, 19, 19, 20, 21, 23, 23, 24, 25, 24, 24, 25, 22, 24, 26, 26, 29, 27, 29, 30, 30, 32, 32, 33, 34, 32, 31, 32, 31, 32
(list; graph; listen)
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OFFSET
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0,6
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COMMENT
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A097086 lists the unreduced numerators.
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FORMULA
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E.g.f.: F(x) = Sum_{n>=0} A097086(n)/2^a(n)*x^n/n! where F(F(x)) = x*exp(x).
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PROGRAM
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(PARI) {a(n)=local(A, B, F=x*exp(x+x^2*O(x^n))); A=F; for(i=0, n, B=serreverse(A); A=(A+subst(B, x, F))/2); valuation(denominator(n!*polcoeff(A, n, x)), 2)}
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CROSSREFS
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Cf. A097086.
Sequence in context: A029108 A134841 A071112 this_sequence A004525 A049206 A084767
Adjacent sequences: A097084 A097085 A097086 this_sequence A097088 A097089 A097090
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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), Jul 23 2004
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