Louvre Pyramid - Revision history

en>Simeon87: /* Urban legend of 666 panes */ let's add an eerie image

2015-01-03T23:38:06Z

Urban legend of 666 panes: let's add an eerie image

← Older revision		Revision as of 01:38, 4 January 2015
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	~~An '''exponential factorial'''~~ is ~~a positive integer ''n'' [[exponentiation\|raised to the power]] of ''n'' − 1, which in turn is raised to the power of ''n'' − 2, and so on and so forth, that is,~~		Emilia Shryock is my title but you can contact me something you like. California is our beginning place. Bookkeeping is my profession. One of the things he loves most is ice skating but he is struggling to find time for it.<br><br>Stop by my weblog ... [http://mcb-law.net/candidiasis-tips-you-have-to-remember/ mcb-law.net]

	~~: <math>n^{(n - 1)^{(n - 2) \cdots }}.\,</math>~~

	~~The exponential factorial~~ can ~~also be defined with the [[recurrence relation]]~~

	~~: <math>a_0 = 1,\quad a_n = n^{a_{n - 1}}~~.~~\,</math>~~

	~~The first few exponential factorials are [[1 (number)\|1]], [[1 (number)\|1]], [[2 (number)\|2]], [[9 (number)\|9]], 262144, etc~~. ~~{{OEIS\|id=A049384}}. So, for example, 262144~~ is ~~an exponential factorial since~~

	~~: <math>262144 = 4^{3^{2^{1}}}.\,</math>~~

	~~The exponential factorials grow much more quickly than regular [[factorial]]s or even [[Factorial#Hyperfactorial\|hyperfactorial]]s~~. ~~The exponential factorial~~ of 5 is ~~5<sup>262144</sup> which~~ is ~~approximately 6~~.~~206069878660874 × 10~~<~~sup~~>~~183230~~<~~/sup~~>.

	~~The sum of the reciprocals of the exponential factorials from 1 onwards is the [[transcendental number]] 1~~.~~6111149258083767361111... {{OEIS2C\|id=A080219}}.~~

	Like [[tetration]], there is currently no accepted method of extension of the exponential factorial function to [[real number\|real]] and [[complex number\|complex]] values of its argument, unlike the [[factorial]] function, for which such an extension is provided by the [[gamma function]].

	~~==References==~~
	*Jonathan Sondow, "[http://~~mathworld~~.~~wolfram.com~~/~~ExponentialFactorial~~.~~html Exponential Factorial]" From [[Mathworld]], a Wolfram Web resource~~

	~~[[Category:Factorial and binomial topics~~]]
	~~[[Category:Integer sequences]]~~
	~~[[Category:Large integers]]~~

	~~{{Numtheory-stub}}~~

146.201.213.39: Changed height from 20.6m/70 ft (an incorrect conversion) to 21.6m/71ft, which matches the referenced source and other external sources that do not cite Wikipedia. 20.6 was probably a typographical error.

2014-01-24T14:58:32Z

Changed height from 20.6m/70 ft (an incorrect conversion) to 21.6m/71ft, which matches the referenced source and other external sources that do not cite Wikipedia. 20.6 was probably a typographical error.

← Older revision		Revision as of 16:58, 24 January 2014
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	~~The writer~~ is ~~known as Irwin Wunder but it~~'~~s not~~ the ~~most masucline name out there. South Dakota~~ is ~~her birth place but she needs~~ to ~~transfer simply because~~ of ~~her family members~~. ~~Doing ceramics~~ is ~~what love doing~~. ~~Hiring~~ is ~~my profession~~.<br><br>~~Here~~ is ~~my web-site~~ ... [http://~~i4p~~.~~info~~/~~article~~.~~php?id=114136 at home std testing~~]		An '''exponential factorial''' is a positive integer ''n'' [[exponentiation\|raised to the power]] of ''n'' − 1, which in turn is raised to the power of ''n'' − 2, and so on and so forth, that is,

			: <math>n^{(n - 1)^{(n - 2) \cdots }}.\,</math>

			The exponential factorial can also be defined with the [[recurrence relation]]

			: <math>a_0 = 1,\quad a_n = n^{a_{n - 1}}.\,</math>

			The first few exponential factorials are [[1 (number)\|1]], [[1 (number)\|1]], [[2 (number)\|2]], [[9 (number)\|9]], 262144, etc. {{OEIS\|id=A049384}}. So, for example, 262144 is an exponential factorial since

			: <math>262144 = 4^{3^{2^{1}}}.\,</math>

			The exponential factorials grow much more quickly than regular [[factorial]]s or even [[Factorial#Hyperfactorial\|hyperfactorial]]s. The exponential factorial of 5 is 5<sup>262144</sup> which is approximately 6.206069878660874 × 10<sup>183230</sup>.

			The sum of the reciprocals of the exponential factorials from 1 onwards is the [[transcendental number]] 1.6111149258083767361111... {{OEIS2C\|id=A080219}}.

			Like [[tetration]], there is currently no accepted method of extension of the exponential factorial function to [[real number\|real]] and [[complex number\|complex]] values of its argument, unlike the [[factorial]] function, for which such an extension is provided by the [[gamma function]].

			==References==
			*Jonathan Sondow, "[http://mathworld.wolfram.com/ExponentialFactorial.html Exponential Factorial]" From [[Mathworld]], a Wolfram Web resource

			[[Category:Factorial and binomial topics]]
			[[Category:Integer sequences]]
			[[Category:Large integers]]

			{{Numtheory-stub}}

122.58.72.184 at 05:51, 28 August 2012

2012-08-28T05:51:06Z

New page

The writer is known as Irwin Wunder but it's not the most masucline name out there. South Dakota is her birth place but she needs to transfer simply because of her family members. Doing ceramics is what love doing. Hiring is my profession.<br><br>Here is my web-site ... [http://i4p.info/article.php?id=114136 at home std testing]