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A069860 Numbers n that divide the concatenation of n+1 and n+2. 14
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

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 (wasserma(AT)spawar.navy.mil), 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: A049288 A102946 A026094 * A084391 A115035 A065199

Adjacent sequences:  A069857 A069858 A069859 * A069861 A069862 A069863

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 18 2002

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 22 2002

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Aug 25 2005

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.