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a(1) = a(2) = 2; for n>2, a(n) = a(n-2)^a(n-1).
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%I #15 Jan 28 2016 05:39:33

%S 2,2,4,16,4294967296

%N a(1) = a(2) = 2; for n>2, a(n) = a(n-2)^a(n-1).

%C The next term is too large to include.

%H <a href="/index/Di#divseq">Index to divisibility sequences</a>

%t a=2; b=2; lst={a,b}; Do[c=a^b; AppendTo[lst,c]; a=b; b=c, {n,3}]; lst (* _Vladimir Joseph Stephan Orlovsky_, Dec 28 2010 *)

%K nonn

%O 1,1

%A Emre Aladag (emrealadag(AT)ttnet.net.tr), Jan 26 2003

%E Corrected by _Brian Galebach_, Dec 03 2003