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A071787
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Continued exponent expansion of the power series 1/(1-x); odd terms being numerators and even terms being denominators of the rational terms of the expansion: 1/(1-x) = e^[(a(1)/a(2))*x*e^[(a(3)/a(4))*x*e^[(a(5)/a(6))*x*e^[...]]]].
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1
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1, 1, 1, 2, 5, 12, 47, 120, 12917, 33840, 329458703, 874222560, 4526064144016687091, 12096849691539466560, 4339254722819592663241773932837977109
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| The fractions a(2n-1)/a(2n) form a monotonically decreasing sequence with the limit being 1/e = 0.3678794411714. What is the rate of growth of the terms?
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FORMULA
| Terms from a(11) through a(16) were supplied by David W. Cantrell (DWCantrell(AT)sigmaxi.net)
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EXAMPLE
| 1/(1-x) = e^[(1/1)*x*e^[(1/2)*x*e^[(5/12)*x*e^[(47/120)*x*e^[...]]]]
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CROSSREFS
| Sequence in context: A127137 A172239 A183758 * A145997 A067578 A109139
Adjacent sequences: A071784 A071785 A071786 * A071788 A071789 A071790
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jun 06 2002
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