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Number of partitions of n into parts that are neither all squarefree, nor all not squarefree.
2

%I #4 Mar 30 2012 18:50:54

%S 0,0,0,0,1,2,3,4,8,14,20,27,40,59,80,106,145,198,262,340,447,584,751,

%T 956,1221,1555,1959,2454,3073,3839,4760,5875,7245,8912,10909,13303,

%U 16206,19696,23848,28788,34704,41755,50085

%N Number of partitions of n into parts that are neither all squarefree, nor all not squarefree.

%C a(n) = A000041(n) - A073576(n) - A114374(n).

%e a(8) = #{2^2+3+1,2^2+2+2,2^2+2+1+1,2^2+1+1+1+1} = 4.

%Y Cf. A005117, A013929.

%K nonn

%O 1,6

%A _Reinhard Zumkeller_, Mar 11 2006