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 A071787 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^[...]]]]. 1
 1, 1, 1, 2, 5, 12, 47, 120, 12917, 33840, 329458703, 874222560, 4526064144016687091, 12096849691539466560, 4339254722819592663241773932837977109 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 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? LINKS FORMULA Terms from a(11) through a(16) were supplied by David W. Cantrell (DWCantrell(AT)sigmaxi.net) EXAMPLE 1/(1-x) = e^[(1/1)*x*e^[(1/2)*x*e^[(5/12)*x*e^[(47/120)*x*e^[...]]]] CROSSREFS Sequence in context: A172239 A183758 A334811 * A343813 A332791 A291484 Adjacent sequences:  A071784 A071785 A071786 * A071788 A071789 A071790 KEYWORD nonn AUTHOR Paul D. Hanna, Jun 06 2002 STATUS approved

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Last modified May 9 19:47 EDT 2021. Contains 343746 sequences. (Running on oeis4.)