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Search: id:A088694
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| A088694 |
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E.g.f: A(x) = f(x*A(x)^3), where f(x)=(1+4*x)*exp(x). |
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+0
1
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| 1, 5, 159, 10228, 1009253, 135069696, 22882888555, 4696799559488, 1133128780421385, 314294095403352064, 98550149514670698071, 34473870245560804316160, 13310522831484403851847981
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OFFSET
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0,2
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COMMENT
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Radius of convergence of A(x): r = (3^2/4^4)*exp(-1/4) = 0.0273797..., where A(r) = (4/3)*exp(1/12), and r = limit a(n)/a(n+1)*(n+1) as n->infinity. Radius of convergence is from a general formula yet unproved.
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FORMULA
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a(n) equals the coefficient of x^n in ((1+4*x)*exp(x))^(3*n+1)/(3*n+1).
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PROGRAM
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(PARI) a(n)=n!*polcoeff(((1+4*x)*exp(x))^(3*n+1)+x*O(x^n), n, x)/(3*n+1)
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CROSSREFS
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Cf. A088690, A088692, A088693.
Adjacent sequences: A088691 A088692 A088693 this_sequence A088695 A088696 A088697
Sequence in context: A032391 A139978 A009082 this_sequence A085330 A136368 A117068
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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), Oct 07 2003
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