Fibonacci Factorial Constant

Author

Eric W. Weisstein
August 5, 2008

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

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

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

Value

(a=-(1/(GoldenRatio^2)))//N

V6

Product[1-(a^k),{k,∞}]

V7

Product[1-(a^k),{k,∞}]

FullSimplify[Product[1-(a^k),{k,∞}]/.a->-(1/(GoldenRatio^2))]

TraditionalForm[%]

N[%%]

With[{a=-(1/(GoldenRatio^2))},Product[1-(a^k),{k,∞}]]

N[%]

%//TraditionalForm