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%I #3 Mar 30 2012 18:50:45
%S 0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,
%T 1,1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,
%U 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,3,2,2,3,2,2,3,2,2,3,2,3,3,2,3,3,2,3,3
%N Number of partitions of 2*n into perfect numbers.
%C a(n) = A097796(2*n).
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PerfectNumber.html">Perfect Number</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Partition.html">Partition</a>
%e a(45)=2: 2*45 = 90 = 15*6 = 15*A000396(1) = 3*28 + 1*6 = 3*A000396(2) + 1*A000396(1).
%Y Cf. A000396, A000041, A058696, A080225.
%K nonn
%O 1,42
%A _Reinhard Zumkeller_, Aug 25 2004
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