plastic constant

Given the equation P3=P+1, solve for P. The only solution in real numbers is P=12+162333+12-162333=12(9+69)3+12(9-69)361.3247179572447, and P is the plastic constant, also known as the silver number.

Another way to calculate the plastic constant is P(n)P(n-1), where P(n) is the nth term of either the Padovan sequenceMathworldPlanetmath or the Perrin sequenceMathworldPlanetmath. For about n>20 the approximation is adequate for all practical purposes.

Title plastic constant
Canonical name PlasticConstant
Date of creation 2013-03-22 16:10:39
Last modified on 2013-03-22 16:10:39
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 8
Author PrimeFan (13766)
Entry type Definition
Classification msc 11B39
Synonym plastic number
Synonym silver number
Synonym silver constant