%I
%S 0,1,1,2,1,3,2,5,3,6,5,9,6,11,9,16,11,19,16,25,19,30,25,39,30,45,39,
%T 56,45,65,56,81,65,92,81,111,92,127,111,152,127,171,152,201,171,226,
%U 201,265,226,295,265,340,295,379,340,435,379,480,435,545,480,601,545,682,601,747
%N Number of partitions of 2n into powers of two where every part appears at least twice.
%C Number of partitions of n into powers of two where every part appears at least twice (=original definition), if 2^0 is accepted as a power of two.  _R. H. Hardin_, Jul 04 2009
%H R. H. Hardin, <a href="/A161051/b161051.txt">Table of n, a(n) for n = 1..1000</a>
%F G.f.: Product_{j>=1} (1 + x^(2*2^j)/(1  x^(2^j))).  _Emeric Deutsch_, Jun 28 2009
%e a(9)=3 because we have 444222, 4422222, and 2^9.  _Emeric Deutsch_, Jun 28 2009
%p g := product(1+x^(2*2^j)/(1x^(2^j)), j = 1 .. 20): gser := series(g, x = 0, 145): seq(coeff(gser, x, 2*n), n = 1 .. 69); # _Emeric Deutsch_, Jun 28 2009
%K nonn
%O 1,4
%A _R. H. Hardin_, Jun 02 2009
%E Definition corrected by _Emeric Deutsch_, Jun 28 2009
