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A181676 Number of ways of writing n = m + f! with m a semiprime and f > 0. 0

%I #4 Mar 30 2012 18:52:44

%S 0,0,0,0,1,1,1,1,0,2,2,2,0,0,2,3,1,0,0,1,1,1,2,1,0,1,3,3,0,1,1,1,1,2,

%T 2,2,1,1,3,3,2,0,0,1,2,1,1,1,1,2,1,2,1,0,1,1,3,2,3,1,1,1,3,2,0,1,1,1,

%U 0,2,2,0,1,0,3,1,0,1,2,1,1,1,2,1,0,2,2,3,2,0,1,2,3,1,2,2,2,1,1,1,2,0,0,0,0

%N Number of ways of writing n = m + f! with m a semiprime and f > 0.

%C Number of partitions of n into a semiprime and a factorial.

%F a(16)=3 because 16 = 2*5 + 3! = 2*7 + 2! = 3*5 + 1!.

%Y Cf. A000142, A001358, A175940.

%K nonn

%O 1,10

%A _Juri-Stepan Gerasimov_, Nov 04 2010

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