Search: id:A090184
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%I A090184
%S A090184 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 A090184 49,55,65,73,82,86,97,109,122,129,145,163,171,193,217,244,257,289,325,
%U A090184 342,365,385,433,487,513,577,649,683,730,769,865,973,1025,1094,1153
%N A090184 Number of partitions of the n-th 3-smooth number into sums of 2s and 
               3s.
%C A090184 a(n) = A008615(A003586(n) + 2).
%F A090184 a(2^i * 3^j) = floor(2^(i-1) * 3^(j-1) + 1), i*j>0.
%e A090184 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 A090184 Cf. A022328, A022329.
%Y A090184 Cf. A117222, A117220, A117221.
%Y A090184 Sequence in context: A067842 A164066 A053251 this_sequence A029057 A087897 
               A029056
%Y A090184 Adjacent sequences: A090181 A090182 A090183 this_sequence A090185 A090186 
               A090187
%K A090184 nonn
%O A090184 0,5
%A A090184 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 21 2004

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