Search: id:A105420
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%I A105420
%S A105420 1,2,3,5,6,10,12,18,23,31,38,53,63,82,100,128,152,194,228,284,336,410,
%T A105420 478,586,678,814,947,1127,1296,1539,1761,2070,2372,2764,3146,3667,4153,
%U A105420 4796,5437,6249,7044,8080,9080,10358,11636,13208,14778,16762,18698
%N A105420 Number of partitions of n into 3-smooth parts.
%C A105420 See A062051 for partitions into distinct 3-smooth numbers.
%C A105420 A117222(n) = a(A003586(n)). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Mar 04 2006
%e A105420 n=10: there are 11 partitions of 10 with at least one part not of the 
               form 2^i*3^j: 10, 7+3, 7+2+1, 7+1+1+1, 5+5, 5+4+1, 5+3+2, 5+3+1+1, 
               5+2+2+1, 5+2+1+1+1 and 5+1+1+1+1+1, therefore a(10) = A000041(10) 
               - 11 = 42 - 11 = 31.
%Y A105420 Cf. A000041, A003586.
%Y A105420 Cf. A117220, A117221.
%Y A105420 Cf. A062051, A023893, A131995.
%Y A105420 Sequence in context: A130898 A088314 A097071 this_sequence A058641 A013931 
               A018429
%Y A105420 Adjacent sequences: A105417 A105418 A105419 this_sequence A105421 A105422 
               A105423
%K A105420 nonn
%O A105420 1,2
%A A105420 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 07 2005

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