A064693 Number of connected components remaining when decimal expansion of the number n is cut from a piece of paper.
2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 4, 3, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 4, 3, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 4, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 2, 2, 2, 3, 2, 3, 2, 4, 3, 3, 2, 2, 2, 3
Offset: 0
Examples
We assume 1,2,3,5 have no hole; 0,4,6,9 have 1 hole; 8 has two holes. So cutting 8 from a piece of paper creates three connected components: one for each hole and one for the remainder of the paper. Hence a(8)=3.