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%I
%S 0,1,1,1,2,2,2,3,3,4,5,5,6,7,9,10,11,13,14,17,19,22,25,28,33,37,41,43,
%T 49,55,65,73,82,86,97,109,122,129,145,163,171,193,217,244,257,289,325,
%U 342,365,385,433,487,513,577,649,683,730,769,865,973,1025,1094,1153
%N Number of partitions of the n-th 3-smooth number into sums of 2s and 3s.
%C a(n) = A008615(A003586(n) + 2).
%F a(2^i * 3^j) = floor(2^(i-1) * 3^(j-1) + 1), i*j>0.
%e n=10: A003586(10) = 2^3 * 3 = 24: 3+3+3+3+3+3+3+3 = 3+3+3+3+3+3+2+2+2 = 3+3+3+3+2+2+2+2+2+2 = 3+3+2+2+2+2+2+2+2+2+2 = 2+2+2+2+2+2+2+2+2+2+2+2: a(10)=5.
%Y Cf. A022328, A022329.
%Y Cf. A117222, A117220, A117221.
%K nonn
%O 0,5
%A _Reinhard Zumkeller_, Jan 21 2004
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