A283742 Numbers with digit sum 11 that are multiples of 11.

209, 308, 407, 506, 605, 704, 803, 902, 2090, 3080, 4070, 5060, 6050, 7040, 8030, 9020, 10109, 10208, 10307, 10406, 10505, 10604, 10703, 10802, 10901, 20009, 20108, 20207, 20306, 20405, 20504, 20603, 20702, 20801, 20900, 30008, 30107, 30206, 30305, 30404

Offset: 1

Author

Zak Seidov, Mar 15 2017

Keywords

• nonn
• base

Comments

Subsequence of A166311.

Numbers with digit sum 11 and even-numbered digits all 0. - Robert Israel, Mar 16 2017

Intersection of A008593 and A166311. - Michel Marcus, Mar 17 2017

If m is a term, so is 10*m. - Zak Seidov, Mar 17 2017

Examples

			a(1) = A166311(18) = 209 = 19*11,
a(40) = A166311(9881) = 30404 = 2764*11.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A008593 (multiples of 11), A166311 (numbers with digit sum 11).

Programs

Maple

F:= proc(d,t) option remember;
if d <= 1 then
  if t <= 9 then return [t*10^d] else return [] fi;
fi;
[seq(seq(j*10^d+s, s = procname(d-2, t-j)), j=0..min(9, t))]
end proc:
sort([op(F(4,11)),op(F(5,11))]); # Robert Israel, Mar 16 2017

Mathematica

Reap[Do[If[11==Total[IntegerDigits[m=11*k]],Sow[m]],{k,3000}]][[2,1]]
Select[Range[209,30404,11],11==Total[IntegerDigits[#]]&]