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a(n) is the smallest positive integer such that the product of all 1/(1-1/a(n)) is less than e, the base of natural logarithms.
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%I #8 Mar 11 2014 01:32:13

%S 2,4,53,8161,95179274,201183145328633251,

%T 185888177135331365526661328509496304,

%U 999276311297022575258979594170618811616720633706868379409096128081691360

%N a(n) is the smallest positive integer such that the product of all 1/(1-1/a(n)) is less than e, the base of natural logarithms.

%C Based on an idea of _Leroy Quet_.

%e a(3)=53 because (1/(1-1/2))*(1/(1-1/4))*(1/(1-1/53)) < e and (1/(1-1/2))*(1/(1-1/4))*(1/(1-1/52)) > e.

%K nonn

%O 1,1

%A _Hans Havermann_, Mar 21 2004