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White House Switchboard Constant


The White House switchboard constant is the name given by Munroe (2012) to the constant

W=exp[-(1+8^(1/(e-1)))^(1/pi)]
(1)
=0.202456141492...
(2)

(OEIS A182064), the first few digits of which are 202-456-1414, which is the phone number of the switchboard of the White House (home of U.S. President).

Other "simple" expressions that might vie for that moniker include

W_1=(2(7pi^2-14pi+2))/(76pi+29)
(3)
=0.202456141401......
(4)
W_2=(3pi^2+14pi^(3/2)-39pi+10pi^(1/2)-5)/(14pi)
(5)
=0.202456141415...
(6)
W_3=sqrt((55+55e-69pi+20ln2)/(39))
(7)
=0.202456141420...
(8)
W_4=(e^(-7gamma/17))/(2·2^(52/153)·3^(20/51))
(9)
=0.202456141422...
(10)
W_5=(-2sqrt(3)+e-2pi+pi^2+ln6)/(pi(2pi+1))
(11)
=0.202456141469...,
(12)

where gamma is the Euler-Mascheroni constant, all of which are "better" than the canonical White House switchboard expression (E. Weisstein, Jul. 13, 2013).


See also

e, Jenny's Constant, Pi

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References

Munroe, R. "A Table of Slightly Wrong Equations and Identities Useful for Approximations and/or Trolling Teachers." xkcd: A Webcomic of Romance, Sarcasm, Math, and Language. http://xkcd.com/1047/. Apr. 2012.Sloane, N. J. A. Sequence A182064 in "The On-Line Encyclopedia of Integer Sequences."White House. "Write or Call the White House." http://www.whitehouse.gov/contact/write-or-call.

Cite this as:

Weisstein, Eric W. "White House Switchboard Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WhiteHouseSwitchboardConstant.html

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