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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 (list; graph; refs; listen; history; text; internal format)
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

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

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

Adjacent sequences:  A283739 A283740 A283741 * A283743 A283744 A283745

KEYWORD

nonn,base

AUTHOR

Zak Seidov, Mar 15 2017

STATUS

approved

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Last modified August 2 08:34 EDT 2021. Contains 346422 sequences. (Running on oeis4.)