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From iteration of the Galton-Watson branching process.
1

%I #12 Mar 30 2012 18:37:41

%S 3,13,233,70673,6068414753,41437343632855438913,

%T 1802124039077579799678906531623816674433,

%U 3276599074530619413746235255317178710800049247052611689171540483148625798281473

%N From iteration of the Galton-Watson branching process.

%D S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 295-316.

%t f[ s_, p_ ] := (1-p)+p s^2; h[ n_, p_, s_ ] := Nest[ f[ #, p ]&, s, n ]; Table[ 2^(2^k-1) h[ k, 1/2, s ]/.s->Sqrt[ 2 ], {k, 7} ]

%K nonn

%O 0,1

%A _Wouter Meeussen_