A015701 From iteration of the Galton-Watson branching process.

3, 13, 233, 70673, 6068414753, 41437343632855438913, 1802124039077579799678906531623816674433, 3276599074530619413746235255317178710800049247052611689171540483148625798281473

Offset: 0

Author

Wouter Meeussen

Keywords

• nonn

References

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

Programs

Mathematica

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} ]