login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A069860 Numbers n that divide the concatenation of n+1 and n+2. 16

%I #7 Dec 05 2013 19:55:18

%S 1,2,3,4,6,17,34,51,167,334,501,1667,3334,5001,14286,16667,33334,

%T 50001,166667,333334,500001,1666667,3333334,5000001,16666667,33333334,

%U 50000001,166666667,333333334,500000001,1666666667,3333333334

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

%F 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

%e 17 divides 1819 hence is a member.

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

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

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Apr 18 2002

%E Edited and extended by _Robert G. Wilson v_, Apr 22 2002

%E More terms from _David Wasserman_, Aug 25 2005

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 20 03:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)