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A152210
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).
2
1, 2, 6, 250488, 279786, 1060566, 1414088, 1767610, 2447460, 10031652, 10356624, 50373066, 155962698, 193715622, 375287934, 759659778, 3125214762, 3252158280, 21173281128, 22937721222, 104101965546, 164092928742, 284358161736
OFFSET
1,2
COMMENTS
See A151995 for the nonmonotonic version.
EXAMPLE
1+2 (=3) divides 12 --> HIT
1+2+3 (=6) does not divide 123
1+2+4 (=7) does not divide 124
1+2+5 (=8) does not divide 125
1+2+6 (=9) divides 126 --> HIT
...
CROSSREFS
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Oct 07 2009, based on a posting to the Sequence Fans Mailing List by Eric Angelini, Sep 29 2009
EXTENSIONS
Corrected by Zak Seidov, Oct 08 2009
a(14)-a(20) from Donovan Johnson, Jul 20 2010
a(21)-a(23) from Max Alekseyev, Jun 18 2011
STATUS
approved