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A213817
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Numbers n with the property that cyclically right-shifting by 2 positions divides n by 9 (leading 0's omitted).
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1
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197802, 296703, 395604, 494505, 593406, 692307, 791208, 890109, 989010, 197802197802, 296703296703, 395604395604, 494505494505, 593406593406, 692307692307, 791208791208, 890109890109, 989010989010, 197802197802197802, 296703296703296703, 395604395604395604
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 9/91*(2+((n-1) mod 9))*(10^(6*floor((n+8)/9))-1). - Alois P. Heinz, Jun 28 2012
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EXAMPLE
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197802 belongs to this sequence, since 21978 is obtained by moving the two least significant digits "02" to the front and 197802/9 = 21978.
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MAPLE
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a:= proc(n) local h;
9/91*(2+irem(n-1, 9, 'h'))*(10^(6*(h+1))-1)
end:
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MATHEMATICA
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lst = {}; Do[d = IntegerDigits[n]; m = FromDigits@Take[d, -2]*10^(IntegerLength[n] - 2) + FromDigits@Drop[d, -2]; If[n/9 == m, AppendTo[lst, n]], {n, 18, 10^6, 9}]; lst
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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