A problem

David Wilson davidwwilson at comcast.net
Mon Jan 1 20:36:11 CET 2007


For positive integers a, b, define sequence f as follows

f(1) = a
f(2) = b
f(n+1) = PROD(1<=k<=n; f(k)) mod SUM(1<=k<=n; f(k)).

Must f(n) = 0 for some n?
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