A117241 Numbers divisible by the sum of k times the k-th digit.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 19, 20, 30, 38, 40, 50, 57, 60, 70, 76, 80, 90, 95, 100, 104, 120, 190, 200, 207, 208, 231, 240, 252, 300, 310, 360, 380, 400, 403, 414, 430, 432, 462, 465, 480, 500, 506, 528, 570, 600, 620, 625, 629, 693, 700, 702, 714, 754, 760, 800, 805, 806

Offset: 1

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 22 2006

Keywords

• base
• nonn

Examples

			95 is in the sequence because 1*9 + 2*5 = 19 and 95 is divisible by 19.
1232 is in the sequence because 1*1 + 2*2 + 3*3 + 4*2 = 22 and 1232 is divisible by 22.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A156207.

Programs

Mathematica

Select[Range[1000], Divisible[#, Plus @@ ((d = IntegerDigits[#]) * Range[Length[d]])] &] (* Amiram Eldar, Feb 08 2021 *)

Extensions

Missing terms inserted by Amiram Eldar, Feb 08 2021