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%I #11 Mar 09 2022 09:27:35
%S 0,0,0,0,1,1,1,1,0,2,2,2,0,0,2,3,1,0,0,1,1,1,2,1,0,1,3,2,0,0,1,1,0,2,
%T 2,3,1,0,3,4,2,0,0,2,2,0,1,1,0,1,2,3,1,0,2,2,2,1,2,1,1,0,3,3,1,1,1,2,
%U 1,1,2,0,0,0,2,2,0,1,2,1,1,0,2,1,1,1,3,4,1,0,1,3,2,1,3,2,2,0,2,1,1,0,0,1,0
%N Number of partitions of n into a primorial and a semiprime.
%C Number of ways of writing n=k+m where k primorial and m semiprime. The number of decompositions of n into an unordered sum of primorial number and semiprime number.
%C Conjecture: Average order is Theta(log log n). - _Charles R Greathouse IV_, May 25 2011
%e a(10)=2 because 10 = 6(primorial)+4(semiprime) = 1(primorial)+9(semiprime).
%Y Cf. A001358, A002110, A100949, A175933.
%K nonn
%O 1,10
%A _Juri-Stepan Gerasimov_, Nov 04 2010
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