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A283742
Numbers with digit sum 11 that are multiples of 11.
3
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
1,1
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
LINKS
EXAMPLE
a(1) = A166311(18) = 209 = 19*11,
a(40) = A166311(9881) = 30404 = 2764*11.
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[#]]&]
CROSSREFS
Cf. A008593 (multiples of 11), A166311 (numbers with digit sum 11).
Sequence in context: A060979 A061880 A216995 * A083512 A168424 A252134
KEYWORD
nonn,base
AUTHOR
Zak Seidov, Mar 15 2017
STATUS
approved