A179864 The unrestricted partition statistic defined by A049085(n,k)+A036043(n,k)- 1.
1, 2, 2, 3, 3, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 6, 6, 5, 4, 6, 5, 4, 6, 5, 6, 6, 7, 7, 6, 5, 7, 6, 5, 5, 7, 6, 5, 7, 6, 7, 7, 8, 8, 7, 6, 5, 8, 7, 6, 6, 5, 8, 7, 6, 6, 5, 8, 7, 6, 8, 7, 8, 8, 9, 9, 8, 7, 6, 9, 8, 7, 6, 7, 6, 5, 9, 8, 7, 7, 6, 6, 9, 8, 7, 7, 6, 9, 8, 7, 9, 8, 9, 9, 10, 10, 9, 8, 7, 6, 10, 9, 8
Offset: 1
Examples
1; 2,2; 3,3,3; 4,4,3,4,4; 5,5,4,5,4,5,5; 6,6,5,4,6,5,4,6,5,6,6; 7,7,6,5,7,6,5,5,7,6,5,7,6,7,7;