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Sequence whose generating function is expressible as a prime-related continued fraction.
1

%I #2 Mar 30 2012 18:59:26

%S 1,2,6,24,114,612,3648,23928,171534,1336416,11269476,102661188,

%T 1010777052,10778107752,124698353796,1564720622004,21217109251374,

%U 308917754417352,4793408454081468,78708576907763868,1359861042837591204

%N Sequence whose generating function is expressible as a prime-related continued fraction.

%C Hankel transform is the Chernoff sequence A006939.

%F G.f.: 1/(1-2x/(1-x/(1-3x/(1-x/(1-5x/(1-x/(1-7x/(1-x/(1-11x/(1-.... (continued fraction);

%F G.f.: 1/(1-2x-2x^2/(1-4x-3x^2/(1-6x-5x^2/(1-8x-7x^2/(1-12x-11x^2/(1- ... (continued fraction).

%K easy,nonn

%O 0,2

%A _Paul Barry_, Dec 09 2009