A166066
a(n)=(Concatenation of A166064(1..n))/(Sum of A166064(1..n)).
Original entry on oeis.org
1, 10, 34, 114, 604, 38030, 5432858, 1686059380, 1311379517778, 809149064160894, 457784289977786218, 1525947633259287393334, 12047520385077724826639078, 349766720857095236902424845162, 18224272090946071153017209199760102
Offset: 1
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A166064(1..7)=1,0,2,6,8,10,162; hence a(1)=1/1=1, a(2)=10/(1+0)=10, a(3)=102/(1+0+2)=34, a(4)=1026/(1+0+2+6)=34, a(5)=10268/(1+0+2+6+8)=604, a(6)=1026810/(1+0+2+6+8+10)=38030, a(7)=1026810162/(1+0+2+6+8+10+162)=5432858.
A151995
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).
Original entry on oeis.org
1, 2, 6, 250488, 19986, 118030, 133970, 693810, 2231328, 3407286, 5733260, 25176334, 75529002, 1913932644, 2692452, 5413116264, 6766395330, 2492882490, 9544178676, 19819882608, 10086515692, 10541120510, 4147755864, 6025730266
Offset: 1
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
...
126250488 == (1+2+6+250488) * 504
...
The sum of the first 14 terms, 2027226147, divides their concatenation
1262504881998611803013397069381022313283407286573326025176334755290021913932644,
giving a quotient of
622774565071062988323520804204101612390759720490782533881916606559052.
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).
Original entry on oeis.org
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
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
...
Corrected by Zak Seidov, Oct 08 2009
A165771
Smallest positive integer such that a(1)+...a(n) divides 123...n (=A007908(n)).
Original entry on oeis.org
1, 1, 1, 614, 206, 463, 8435, 4872, 17870, 1234535428, 182846450, 693391108, 96110089192, 205761216947625578, 8024691291572288542, 3078189274921062476618, 5669380917941142205058, 61952555082544875480446
Offset: 1
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c=""; s=0; for(i=1,19, fordiv(c=eval(Str(c,i)),d, d>s || next; print1(d-s,", "); s=d; break))
Showing 1-4 of 4 results.
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