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

[Alonso Del Arte]

A lot of times, when I'm surprised a sequence is not already in the OEIS, I
try a slightly different definition and find that one is in the OEIS.
Whether the first definition I tried is worth adding, that's something to
be decided on a case by case basis.

051885 <http://oeis.org/A051885>
Smallest number whose sum of digits is n.

Al



On Sun, Jan 12, 2014 at 9:18 AM, John W. Nicholson
<reddwarf2956 at yahoo.com>wrote:

> 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
> >
> >
> >
> >_______________________________________________
> >
> >Seqfan Mailing list - http://list.seqfan.eu/
> >
> >
> >
>
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>
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>



-- 
Alonso del Arte
Author at SmashWords.com<https://www.smashwords.com/profile/view/AlonsoDelarte>
Musician at ReverbNation.com <http://www.reverbnation.com/alonsodelarte>