# [seqfan] Re: Filling squares and triangles (with digits)

Claudio Meller claudiomeller at gmail.com
Thu Dec 5 22:02:44 CET 2013

```Hi, if we fill the squares with the names of the numbers (without spaces),
the names of the numbers from 1 to 9 fill a 6x6 square

O N E T W O  T H R E E F  O U R F I V  E S I X S E  V E N E I G  H T N I
N E

>From 1-9       36 letters 6x6
>From 1-16     81 letters 9x9
>From 1-21   121 letters 11x11
>From 1-56   441 letters 21x21
>From 1-107 961 letters 31x31

Best regards,

2013/11/29 юрий герасимов <2stepan at rambler.ru>

>
> Dear Seq Fans,
> I propose to extend Eric's idea. This tdea is called:
> Filling the sides of square or triangle spirals (with digits).
> For square spiral S(n) are 1, 2, 3, 5, 7, 0, 11, 13, 15, 0, 20, 23, 26, 0,
> 33, 37, 41, 0, 50, 55, 60, 0, 71, 77, 83, 0, 96, 0, 0, 0, 0, 0, 127,0,...
>
> For triangle spiral S(n) are 1, 2, 4, 7, 10, 0, 0, 19, 23, 0, 0, 38, 44,
> 0, 0, 65, 73, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ....
>
> Without zeros: 1, 2, 4, 7, 19, 23, 38, 44, 65, 73,... What in the next
> one?
> First differences: 1, 2, 3, 12, 4, 15, 6, 25, 8,... What in the next one?
> Primes in S(n): 2, 7, 19, 23, 73,... What in the next one?
> Example:
> --------------------------------------------------------------------------------
> 9, -------------------------------------------------------------------------------1,
> 0, -----------------------------------------------------------------------------
> 9, 5, 9, ----------------------------------------------------------------------------
> 2, 6, 6, 9, ---------------------------------------------------------------------------
> 9, 6, 4, 4, 8, ------------------------------
> -------------------------------------------- 3, 6, 4, 4, 6, 8,
> -------------------------------------------------------------------------
> 9, 7, 5, 2, 3, 3, 8, ------------------------------
> ------------------------------------------ 4, 6, 4, 8, 7, 4, 6, 7,
> -----------------------------------------------------------------------9,
> 8, 6, 2, 1, 2, 2, 2, 8, ------------------------------
> --------------------------------------- 5, 6, 4, 9, 6, 5, 6, 4, 6, 6,
> --------------------------------------------------------------------9, 9,
> 7, 3, 1, 7, 1, 2, 1, 1, 8,
> ------------------------------------------------------------------ 6, 7,
> 4, 0, 7, 8, 6, 4, 5, 4, 6, 5, ------------------------------
> ----------------------------------- 9, 0, 8, 3, 1, 9, 1, 5, 1, 2, 0, 0,
> 8, -----------------------------------------------------------------7, 7,
> 4, 1, 8, 1, 2, 3, 4, 3, 4, 4, 6, 4, ------------------------------
> --------------------------------- 9, 1, 9, 3, 1, 0, 1, 1, 1, 2, 1, 2, 9,
> 9, 8, -------------------------------------------------------------- 8,
> 7, 5, 2, 9, 2, 0, 2, 1, 2, 2, 2, 3, 3, 5, 3, ------------------------------
> --------------------------------9, 2, 0, 3, 3, 3, 4, 3, 5, 3, 6, 3, 7, 3,
> 8, 8, 8, ------------------------------------------------------------ 9,
> 7, 5, 1, 5, 2, 5, 3, 5, 4, 5, 5, 5, 6, 5, 7, 5, 2,
> ----------------------------------------------------------- 1, 3, 7, 4,
> 7, 5, 7, 6, 7, 7, 7, 8, 7, 9, 8, 0, 8, 1, 8, ----------------------------------------------------------0,
> 0, 1, 0, 1, 1, 0, 2, 1, 0, 3, --->
> Best regards,
> JSG.
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>

--
Claudio Meller
http://grageasdefarmacia.blogspot.com
http://todoanagramas.blogspot.com/
http://simplementenumeros.blogspot.com/
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