[seqfan] Re: A Xmas fractal tree

[Antti Karttunen]

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:
> Send SeqFan mailing list submissions to
>         seqfan at list.seqfan.eu

> 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).
>