[seqfan] Re: Sum divides concatenation

Jack Brennen jfb at brennen.net
Mon Sep 28 19:23:32 CEST 2009


I believe this is a few more terms from the sequence:

1
2
6
250488
19986
118030
133970
693810
2231328
3407286
5733260
25176334
75529002
1913932644

Jack Brennen wrote:
> The next term would be 250488, if that's any help:
> 
>    126250488 == (1+2+6+250488) * 504
> 
> Eric Angelini wrote:
>> Hello SeqFans,
>> I don't know how to find more terms -- thus I don't know
>> if this is old hat in Neil's database:
>>
>> 1, 2, 6, ...
>>
>> The sum of the first n integers divides the concatanion of
>> the first n integers; always prolong the seq with the smal-
>> lest _natural_ number not yet used:
>>
>> 1 divides 1  --> HIT
>> 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
>> etc.
>>
>> Best,
>> É.
>>
>>
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>>
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>>
>>
> 
> 
> 
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