A117395 Number of partitions of n into parts that are neither all squarefree, nor all not squarefree.

0, 0, 0, 0, 1, 2, 3, 4, 8, 14, 20, 27, 40, 59, 80, 106, 145, 198, 262, 340, 447, 584, 751, 956, 1221, 1555, 1959, 2454, 3073, 3839, 4760, 5875, 7245, 8912, 10909, 13303, 16206, 19696, 23848, 28788, 34704, 41755, 50085

Offset: 1

Author

Reinhard Zumkeller, Mar 11 2006

Keywords

• nonn

Comments

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

Examples

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

Crossrefs

Cf. A005117, A013929.