20170323, 23:27  #1 
"Sam"
Nov 2016
5·67 Posts 
Generalized Mersenne Sequence continuation
Given the Mersenne Sequence 2^n1, it can be modeled using the true equation:
2  1 = 1 One generalization includes fixing 2 to a and forming the equation and sequence: a  1 = b (a^n1)/b Another generalization include: a  b = c (a^nb^n)/c What is the proper Generalized Mersenne Sequence(s) for the "base" equation: x*a  y*b = z*c in terms of (a, b, c, x, y, z) and the exponent n? In the case of (a^nb^n)/c, (x, y, z) = 1. What about when one, both, or all of (x, y, z) > 1? What is the closed form similar to (a^nb^n)/c with the same sequence properties? 
20170323, 23:42  #2  
"Forget I exist"
Jul 2009
Dartmouth NS
2·3·23·61 Posts 
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