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a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to 3^n.
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%I #9 Jun 06 2016 22:23:03

%S 1,7,27,104,378,1327,4553,15351,51072,168147,548915,1779377,5734022,

%T 18384612,58688163,186632570,591509670,1869118923,5890466415,

%U 18518945789,58094637801,181884111404,568416743474,1773443888599

%N a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to 3^n.

%F floor( agm(a(n), 1) ) = 3^n, for n>=0.

%Y Cf. A090852, A090854, A090857.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Dec 10 2003