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A213817 Numbers n with the property that cyclically right-shifting by 2 positions divides n by 9 (leading 0's omitted). 1
197802, 296703, 395604, 494505, 593406, 692307, 791208, 890109, 989010, 197802197802, 296703296703, 395604395604, 494505494505, 593406593406, 692307692307, 791208791208, 890109890109, 989010989010, 197802197802197802, 296703296703296703, 395604395604395604 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 24 14:46 EDT 2021. Contains 347643 sequences. (Running on oeis4.)