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).

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

Author

N. J. A. Sloane, Oct 07 2009, based on a posting to the Sequence Fans Mailing List by Eric Angelini, Sep 29 2009

Keywords

• nonn
• base

Comments

See A151995 for the nonmonotonic version.

Examples

			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

Cf. A151995, A166064, A165770, A165771.

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