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%I #10 Mar 20 2015 18:17:22
%S 1,2,6,250488,19986,118030,133970,693810,2231328,3407286,5733260,
%T 25176334,75529002,1913932644,2692452,5413116264,6766395330,
%U 2492882490,9544178676,19819882608,10086515692,10541120510,4147755864,6025730266
%N a(1)=1; thereafter a(n) is smallest positive number not already in the sequence such that the sum a(1)+...+a(n) divides the concatenation a(1)...a(n).
%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 ...
%e 126250488 == (1+2+6+250488) * 504
%e ...
%e The sum of the first 14 terms, 2027226147, divides their concatenation
%e 1262504881998611803013397069381022313283407286573326025176334755290021913932644,
%e giving a quotient of
%e 622774565071062988323520804204101612390759720490782533881916606559052.
%Y Cf. A152210, 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 More terms from _Jack Brennen_, _John W. Layman_, _Charles R Greathouse IV_ and _Robert G. Wilson v_, Sep 30 2009. _Jack Brennen_ found a(14).
%E Definition corrected by _Zak Seidov_, Oct 08 2009
%E a(15)-a(24) from _Donovan Johnson_, Jul 20 2010
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