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A290725
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Numbers with 3k digits for some k such that the first k digits minus the middle k digits equals the last k digits.
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2
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101, 110, 202, 211, 220, 303, 312, 321, 330, 404, 413, 422, 431, 440, 505, 514, 523, 532, 541, 550, 606, 615, 624, 633, 642, 651, 660, 707, 716, 725, 734, 743, 752, 761, 770, 808, 817, 826, 835, 844, 853, 862, 871, 880, 909, 918, 927, 936, 945, 954, 963, 972, 981, 990, 100010, 100109, 100208, 100307
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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EXAMPLE
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987654333 is a member because 987-654=333.
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MAPLE
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N:= 100: # to get the first N terms
count:= 0:
Res:= NULL:
for d from 1 while count < N do
for x1 from 10^(d-1) to 10^d-1 while count < N do
for x2 from 0 to x1 while count < N do
x3:= x1 - x2;
count:= count+1;
Res:= Res, x1*10^(2*d)+x2*10^d+x3;
od od od:
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MATHEMATICA
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kd3Q[n_]:=Module[{c=FromDigits/@Partition[IntegerDigits[n], IntegerLength[ n]/3]}, c[[1]]-c[[2]]==c[[3]]]; Table[Select[Range[10^(3n-1), 10^(3n)-1], kd3Q], {n, 2}]//Flatten (* Harvey P. Dale, Feb 25 2020 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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