[seqfan] Re: Clarifying A112531
franktaw at netscape.net
franktaw at netscape.net
Mon May 19 20:13:34 CEST 2014
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
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
--
Met vriendelijke groet,
@@i = Arie Groeneveld
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