%I #10 Jul 26 2024 16:01:13
%S 1,1,1,614,206,463,8435,4872,17870,1234535428,182846450,693391108,
%T 96110089192,205761216947625578,8024691291572288542,
%U 3078189274921062476618,5669380917941142205058,61952555082544875480446
%N Smallest positive integer such that a(1)+...a(n) divides 123...n (=A007908(n))
%C Without the initial term, these are the first differences of A165770.
%H John W. Layman, <a href="http://list.seqfan.eu/oldermail/seqfan/2009-September/002426.html">Re: Sum divides concatenation</a>, SeqFan list, Sep 30 2009.
%o (PARI) c=""; s=0; for(i=1,19, fordiv(c=eval(Str(c,i)),d, d>s || next; print1(d-s,", "); s=d; break))
%Y Cf. A151995, A165770, A166064.
%K nonn,base
%O 1,4
%A _M. F. Hasler_, Sep 30 2009
%E Edited by _Charles R Greathouse IV_, Apr 24 2010