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A216995 Multiples of 11 such that the digit sum is a multiple of 11. 9
209, 308, 407, 506, 605, 704, 803, 902, 2090, 2299, 2398, 2497, 2596, 2695, 2794, 2893, 2992, 3080, 3289, 3388, 3487, 3586, 3685, 3784, 3883, 3982, 4070, 4279, 4378, 4477, 4576, 4675, 4774, 4873, 4972, 5060, 5269, 5368, 5467, 5566, 5665, 5764, 5863, 5962, 6050 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Nothing between 1000 and 2000.

Also, there are no a(n) from 10902 to 12198 (this interval contains 117 multiples of 11). [Bruno Berselli, Oct 26 2012]

LINKS

Bruno Berselli, Table of n, a(n) for n = 1..1000

EXAMPLE

3487 = 11*317 and 3+4+8+7 = 22 = 11*2.

MATHEMATICA

Select[11*Range[1000], Mod[Total[IntegerDigits[#]], 11] == 0 &] (* T. D. Noe, Sep 24 2012 *)

PROG

(JavaScript)

function sumarray(arr) {

t=0;

for (i=0; i<arr.length; i++) t+=arr[i];

return t;

}

k=11;

for(s=1; s<1000; s++) {

a=new Array();

x=(s*k).toString();

for (j=0; j<x.length; j++) a[j]=Number(x.charAt(j));

if (sumarray(a)%k==0) document.write(s*k+", ");

}

CROSSREFS

Cf. A216994, A216996, A216997, A216998, A217009.

Sequence in context: A025326 A060979 A061880 * A283742 A083512 A168424

Adjacent sequences:  A216992 A216993 A216994 * A216996 A216997 A216998

KEYWORD

nonn,base

AUTHOR

Jon Perry, Sep 22 2012

STATUS

approved

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Last modified March 29 13:11 EDT 2017. Contains 284270 sequences.