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Jenny's Constant


Jenny's constant is the name given (Munroe 2012) to the positive real constant defined by

J=(7^(e-1/e)-9)pi^2
(1)
=867.53090198...
(2)

(OEIS A182369), the first few digits of which are 867-5309, corresponding to the fictitious phone number in the song "867-5309/Jenny" performed by Tommy Tutone in 1982.

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

J_1=39e^pi+4pi+ln2+2lnpi-40tan^(-1)pi
(3)
=867.53090001...
(4)
J_2=(581)/(13pi)+(3531pi)/(13)
(5)
=867.53090028...
(6)
J_3=-148e^(-1)+63+316e
(7)
=867.53090050...
(8)
J_4=908-29kappa_h
(9)
=867.53090679...,
(10)

where kappa_h is the hard hexagon entropy constant, the first three of which are "better" than the canonical Jenny expression (E. Weisstein, Jul. 12, 2013).


See also

e, Pi, White House Switchboard Constant

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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 A182369 in "The On-Line Encyclopedia of Integer Sequences."

Cite this as:

Weisstein, Eric W. "Jenny's Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/JennysConstant.html

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