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

[Neil Sloane]

Ah, I see! So this wasn't the definition

In each case, the sum of digits of a(n) = n

but a property. So now I agree, both of them should be submitted!

Neil


On Sun, Jan 12, 2014 at 2:50 PM, M. F. Hasler <oeis at hasler.fr> wrote:

> I don't know whether I'm allowed to spoil the fun.
> But I'd define it as triangle (read by rows):
> T(n,k)=A007908 <https://oeis.org/A007908>(n-1)*10+k
> with 1 <= k <= n and A007908 <https://oeis.org/A007908>(0) := 0.
> At least this works up to n=10, k=9.
> Thereafter, a frequent ambiguity comes into play and several possibilities
> exist.
> M.
>
> On Sun, Jan 12, 2014 at 3:43 PM, Neil Sloane <njasloane at gmail.com> wrote:
>
> > But what IS the definition? How does it differ from A051885?
> > Neil
> >
> >
> > On Sun, Jan 12, 2014 at 2:31 PM, M. F. Hasler <oeis at hasler.fr> wrote:
> >
> > > The definition of that sequence is different.
> > > Nice idea, I think it should be submitted.
> > > M.
> > >
> > >
> > > On Sun, Jan 12, 2014 at 12:07 PM, Alonso Del Arte
> > > <alonso.delarte at gmail.com>wrote:
> > >
> > > > 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
> > > > > >
> > > > > >
> > > > > >
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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>
> > > >
> > > > _______________________________________________
> > > >
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> > > >
> > >
> > >
> > >
> > > --
> > > Maximilian
> > >
> > > _______________________________________________
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> >
> >
> >
> > --
> > Dear Friends, I have now retired from AT&T. New coordinates:
> >
> > Neil J. A. Sloane, President, OEIS Foundation
> > 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
> > Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
> > Phone: 732 828 6098; home page: http://NeilSloane.com
> > Email: njasloane at gmail.com
> >
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> >
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> >
>
>
>
> --
> Maximilian
>
> _______________________________________________
>
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>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com