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a(1)=2. a(n) equals the product of the previous terms divided by the (n-1)st prime gap.
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%I #5 Apr 23 2013 12:35:27

%S 2,2,2,4,8,128,8192,134217728,9007199254740992

%N a(1)=2. a(n) equals the product of the previous terms divided by the (n-1)st prime gap.

%C Start with a(1)=2. Build a(n) as the product of all preceding terms divided by the n-minus-first prime gap. The sequence is limited to 9 terms because the 10th term is no longer an integer.

%F a(1) =2. a(n) = product_{i=1..n-1} a(i) / A001223(n-1), n>1.

%e a(8) = 2*2*2*4*8*128*8192/2 = 134217728.

%K nonn,fini,full

%O 1,1

%A Valle Rogers (Vallerogers(AT)hotmail.com), May 03 2009

%E Edited by _R. J. Mathar_, May 16 2009