A069860 Numbers n that divide the concatenation of n+1 and n+2.

1, 2, 3, 4, 6, 17, 34, 51, 167, 334, 501, 1667, 3334, 5001, 14286, 16667, 33334, 50001, 166667, 333334, 500001, 1666667, 3333334, 5000001, 16666667, 33333334, 50000001, 166666667, 333333334, 500000001, 1666666667, 3333333334

Offset

1,2

Links

Table of n, a(n) for n=1..32.

Formula

For k > 0, sequence contains (10^k+2)/2, (10^k+2)/3, (10^k+2)/6 and (10^(6k-1)+2)/7. The only other terms are 1 and 3. - David Wasserman, Aug 25 2005

Example

17 divides 1819 hence is a member.

Mathematica

Select[ Range[10^7], Mod[ FromDigits[ Join[ IntegerDigits[ # + 1], IntegerDigits[ # + 2]]], # ] == 0 & ]

Crossrefs

Cf. A069860, A069861, A069862, A069871, A088797, A088798.

Sequence in context: A285191 A271360 A236413 * A084391 A259383 A220702

Adjacent sequences: A069857 A069858 A069859 * A069861 A069862 A069863

Keyword

base,nonn

Author

Amarnath Murthy, Apr 18 2002

Extensions

Edited and extended by Robert G. Wilson v, Apr 22 2002

More terms from David Wasserman, Aug 25 2005

Status

approved