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A114372 Number of partitions of n into parts with an odd number of prime factors that are all distinct. 0

%I #4 Mar 30 2012 18:50:53

%S 0,1,1,1,2,2,3,3,4,5,6,7,9,10,12,14,17,19,23,26,30,35,40,46,52,60,67,

%T 77,87,99,111,125,141,158,177,199,222,247,276,307,342,380,422,467,517,

%U 572,633,698,770,848,933,1027,1129,1239,1359,1490,1631,1786,1954,2136,2332

%N Number of partitions of n into parts with an odd number of prime factors that are all distinct.

%C a(n) = A000607(n) for n<30=2*3*5, but a(30) = 99 = A000607(30)+1.

%Y Cf. A030059, A073576.

%K nonn

%O 1,5

%A _Reinhard Zumkeller_, Feb 09 2006

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