A152210 - OEIS

%I #8 Mar 31 2012 14:43:40

%S 1,2,6,250488,279786,1060566,1414088,1767610,2447460,10031652,

%T 10356624,50373066,155962698,193715622,375287934,759659778,3125214762,

%U 3252158280,21173281128,22937721222,104101965546,164092928742,284358161736

%N a(1)=1; thereafter a(n) is smallest number > a(n-1) such that the sum a(1)+...+a(n) divides the concatenation a(1)...a(n).

%C See A151995 for the nonmonotonic version.

%e 1+2 (=3) divides 12 --> HIT

%e 1+2+3 (=6) does not divide 123

%e 1+2+4 (=7) does not divide 124

%e 1+2+5 (=8) does not divide 125

%e 1+2+6 (=9) divides 126 --> HIT

%e ...

%Y Cf. A151995, A166064, A165770, A165771.

%K nonn,base

%O 1,2

%A _N. J. A. Sloane_, Oct 07 2009, based on a posting to the Sequence Fans Mailing List by _Eric Angelini_, Sep 29 2009

%E Corrected by Zak Seidov, Oct 08 2009

%E a(14)-a(20) from _Donovan Johnson_, Jul 20 2010

%E a(21)-a(23) from _Max Alekseyev_, Jun 18 2011