A101227 Number of solutions to equation n=x+largest digit of x, n>1.

1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1

Offset: 2

Author

Zak Seidov, Jan 22 2005

Keywords

• base
• easy
• nonn

Comments

In A045844, a sequence is defined by a rule a(n+1) = a(n) + largest digit of a(n); a(0) = 1. As usually in such cases, direct transformation is unique, while reverse one is not. Here the number of possible "previous" terms is given for each n.

Examples

			a(12)=2 because 12=6+6 and 12=11+1; a(101)=2 because 101=92+9 and 101=100+1; note offset=2.
		

Crossrefs

Cf. A045844.