[seqfan] Re: A Xmas fractal tree
Antti Karttunen
antti.karttunen at gmail.com
Sat Dec 27 13:46:55 CET 2014
Thanks Eric,
very nice Christmas-tree!
(Also a "tabf" where the sequence itself gives the length of each row,
like you said below.)
Antti
On Sat, Dec 27, 2014 at 1:46 PM, <seqfan-request at list.seqfan.eu> wrote:
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> Message: 15
> Date: Sat, 27 Dec 2014 12:08:09 +0100
> From: Eric Angelini <Eric.Angelini at kntv.be>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Subject: [seqfan] A Xmas fractal tree
> Message-ID:
> <8B00BFBA136BAB43AD27F9EDC3758F03ADD2FDD499 at KNTVSRV01.kntv.local>
> Content-Type: text/plain; charset="Windows-1252"
>
> Hello SeqFans,
> Here is a fractal Xmas tree. Many thanks to all contributors who took the time to read my posts so far – and a happy 2015 to the wonderful OEIS’ staff!
> Best,
> É.
>
>
>
> 1,
> 2,3,
> 4,1,5,
> 6,2,3,7,
> 8,
> 9,4,1,5,10,
> 11,6,2,3,7,12,
> 13,14,
> 15,8,16,
> 17,9,4,1,5,10,18,
> 19,11,6,2,3,7,12,20,
> 21,13,8,4,1,5,9,14,22,
> 23,15,16,24,
> 25,
> 26,17,10,18,27,
> 28,19,11,6,2,3,7,12,20,29,
> 30,21,13,8,4,1,5,9,14,22,31,
> 32,23,15,16,24,33,
> 34,35,
> 36,25,37,
> 38,26,17,10,18,27,39,
> 40,28,19,11,6,2,3,7,12,20,29,41,
> 42,30,21,13,8,4,1,5,9,14,22,31,43,
> 44,32,23,15,10,6,2,3,7,11,16,24,33,45,
> 46,34,25,17,12,8,4,1,5,9,13,18,26,35,47,
> 48,36,27,19,20,28,37,49,
> 50,38,29,21,14,10,6,2,3,7,11,15,22,30,39,51,
> 52,40,31,23,16,12,8,4,1,5,9,13,17,24,32,41,53,
> 54,42,33,25,18,26,34,43,55,
> 56,44,45,57,
> 58,
> ...
>
> Shape:
> The width of the tree, at every stage, is given by the tree itself, starting from the top (the successive widths, starting from the top, are 1,2,3,4,1,5,6,2,3,7,...)
>
> Fractality:
> If you “peel” the tree, it will reappear – unchanged (to “peel” is to erase the first and last integer of each layer).
>
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