MathDB
Hungary-Israel Binational 1996\1

Source: find all sequences with a special property

October 29, 2008
number theory proposednumber theory

Problem Statement

Find all integer sequences of the form xi,1i1997 x_i, 1 \le i \le 1997, that satisfy \sum_{k\equal{}1}^{1997} 2^{k\minus{}1} x_{k}^{1997}\equal{}1996\prod_{k\equal{}1}^{1997}x_k.