[seqfan] Re: Clarifying A112531

[Neil Sloane]

I just added it, see A241596.
But I will add Franklin's explanation too


On Mon, May 19, 2014 at 2:13 PM, <franktaw at netscape.net> wrote:

> That looks right.
>
> This can be defined in terms of the binary expansion. Start with the
> partition [1]. Now process the bits of the number from right to left,
> excluding the leading 1. For a zero bit, increase each number in the
> partition by 1; for a one bit, add a part of size 1.
>
> For example, n=11, binary 1011, we get 1 -> 11 -> 111 -> 222. I will add
> this sequence.
>
>
> Franklin T. Adams-Watters
>
> -----Original Message-----
> From: Aai <agroeneveld400 at gmail.com>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Mon, May 19, 2014 12:51 pm
> Subject: [seqfan] Re: Clarifying A112531
>
>
> The partitions expand as follows IMO:
>
> 1
> 2 11
> 3 22 21 111
> 4 33 32 222 31 221 211 1111
> etc.
>
> A two step next subsequence of partions based on the previous sub:
>
> first:  increment every digit of the partitons by 1
> second: append a 1 to every partitons
>
> e.g. we have:
>
> 3 22 21 111
>
> then the next subsequence of partitions will be:
>
> 4 33 32 222
> followed by
>
> 31 221 211 1111
>
> combined to
>
> 4 33 32 222 31 221 211 1111
>
>
>
>
>
> On 19-05-14 09:09, Peter Luschny wrote:
>
>> Please help clarifying the definition of the triangular array
>> http://oeis.org/A112531
>>
>> Peter
>>
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>
> --
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> @@i = Arie Groeneveld
>
>
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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.
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