A071787 - OEIS

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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, 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	`Table of n, a(n) for n=1..15.`
	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)xe^[(1/2)xe^[(5/12)xe^[(47/120)xe^[...]]]]`
	CROSSREFS	`Sequence in context: A127137 A172239 A183758 * A291484 A145997 A067578` `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 January 21 04:53 EST 2020. Contains 331104 sequences. (Running on oeis4.)