A213817 Numbers n with the property that cyclically right-shifting by 2 positions divides n by 9 (leading 0's omitted).

197802, 296703, 395604, 494505, 593406, 692307, 791208, 890109, 989010, 197802197802, 296703296703, 395604395604, 494505494505, 593406593406, 692307692307, 791208791208, 890109890109, 989010989010, 197802197802197802, 296703296703296703, 395604395604395604

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..500

Wikipedia, Transposable integer

Formula

a(n) = 9/91*(2+((n-1) mod 9))*(10^(6*floor((n+8)/9))-1). - Alois P. Heinz, Jun 28 2012

Example

197802 belongs to this sequence, since 21978 is obtained by moving the two least significant digits "02" to the front and 197802/9 = 21978.

Maple

a:= proc(n) local h;
      9/91*(2+irem(n-1, 9, 'h'))*(10^(6*(h+1))-1)
    end:
seq (a(n), n=1..30);  # Alois P. Heinz, Jun 28 2012

Mathematica

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

Crossrefs

Sequence in context: A345659 A344942 A344943 * A215996 A205234 A345660

Adjacent sequences: A213814 A213815 A213816 * A213818 A213819 A213820

Keyword

base,nonn

Author

Arkadiusz Wesolowski, Jun 22 2012

Extensions

More terms from Alois P. Heinz, Jun 28 2012

Status

approved