[seqfan] Re: Two easy sequences not in the OEIS

[John W. Nicholson]

Those are not the only ones which the sum of digits of a(n) = n, 

Let a(4) = 112 and 211 

will also work. Unless you are meaning that the sequence is only increasing?

Maybe you are meaning these are the min and max sequence that you want while the sequence is increasing?



 
John W. Nicholson



On Sunday, January 12, 2014 6:04 AM, Jeremy Gardiner <jeremy.gardiner at btinternet.com> wrote:
 

>I was surprised not to find these sequences in the OEIS:
>
>1, 11, 12, 121, 122, 123, 1231, 1232, 1233, 1234, 12341, 12342, 12343,
>12344, 12345, ...
>
>1, 11, 21, 121, 221, 321, 1321, 2321, 3321, 4321, 14321, 24321, 34321,
>44321, 54321, ...
>
>In each case, the sum of digits of a(n) = n.
>
>These might be extended beyond 123456789 and 987654321 as follows:
>
>1987654321, 11987654321, 21987654321, 121987654321, 221987654321,
>321987654321, ...
>
>I'll be happy to submit these, if anyone thinks they are interesting?
>
>Further, summing the digits of terms of both sequences:
>
>2, 22, 33, 242, 343, 444, 2552, 3553, 4554, 5555, 26662, 36663, 46664,
>56665, 66666, ... 
>
>Sum of digits of a(n) = 2, 4, 6, 8, 10, 12, ...
>
>However there is a difficulty extending this sequence beyond
>12345678, 87654321 => 99999999
>
>Any suggestions?
>
>Jeremy
>
>
>
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