Pell Constant

Author

Eric W. Weisstein
July 11, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/PellConstant.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/PellConstant.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Value

V6

1-(∏_(k=0)^∞)(1-(1/(2^(2k+1))))

V7

1-Product[(1-(1/(2^k))),{k,1,∞,2}]

TraditionalForm[%]

1-(∏_(k=0)^∞)(1-(1/(2^(2k+1))))

FullSimplify[%]

N[%,1000]

1-QPochhammer[(1/2),(1/4)]∈Rationals

Known to be irrational, not known if transcendental