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White House Switchboard Constant

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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), whose first ten digits after the decimal point reproduce 202-456-1414, the White House switchboard number recorded on its archived website.

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+16pi^(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. Each of W_1, W_2, W_3, W_4, and W_5 is closer to 0.2024561414 than W is (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. Apr. 25, 2012. https://xkcd.com/1047/.Sloane, N. J. A. Sequence A182064 in "The On-Line Encyclopedia of Integer Sequences."White House. "Write or Call the White House." https://obamawhitehouse.archives.gov/contact/write-or-call.

Referenced on Wolfram|Alpha

White House Switchboard Constant

Cite this as:

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

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