A139384 The number of 3-digit multiples of n whose digits sum to n.

1, 2, 6, 3, 5, 12, 4, 5, 45, 9, 8, 17, 5, 5, 13, 4, 4, 25, 1, 0, 4, 0, 0, 1, 0, 0, 1

Offset: 1

Author

Ian Duff, Jun 08 2008

Keywords

• base
• full
• nonn
• fini

Examples

			a(1)=1 as 100 is the only 3-digit multiple of 1 whose digits sum to 1, while a(19)=1 as 874 is the only 3-digit multiple of 19 with the property.
		

Programs

Mathematica

dm3[n_]:=Module[{min=n*Ceiling[100/n],max=n*Floor[999/n]},Length[ Select[Range[min,max,n],Total[IntegerDigits[#]]==n&]]]; Array[dm3,30] (* Harvey P. Dale, Dec 18 2011 *)