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

1,2

Links

Table of n, a(n) for n=1..27.

Example

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.

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 *)

Crossrefs

Sequence in context: A163338 A323335 A338444 * A083481 A177209 A274439

Adjacent sequences: A139381 A139382 A139383 * A139385 A139386 A139387

Keyword

base,full,nonn,fini

Author

Ian Duff, Jun 08 2008

Status

approved