

A196244


Number of distinct values taken by r^r^...^r where r=1/2 (with n r's and parentheses inserted in all possible ways).


7



1, 1, 2, 4, 9, 20, 47, 111, 271, 670, 1685, 4295, 11074, 28824
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OFFSET

1,3


LINKS

Table of n, a(n) for n=1..14.


MATHEMATICA

f[1] = {1/2}; f[n_] := f[n] = Union[Flatten[Table[Outer[Power, f[k], f[n  k]], {k, n  1}]], SameTest > Equal]; Table[Length[f[n]], {n, 1, 10}] (* Vladimir Reshetnikov, Nov 01 2011 *)


CROSSREFS

Cf. A002845, A082499.
Sequence in context: A307557 A036618 A003018 * A035084 A213905 A058385
Adjacent sequences: A196241 A196242 A196243 * A196245 A196246 A196247


KEYWORD

nonn,more


AUTHOR

Vladimir Reshetnikov, Oct 27 2011


EXTENSIONS

a(13)a(14) from Alois P. Heinz, Feb 20 2013


STATUS

approved



