[seqfan] Re: plastic number base

[Dale Gerdemann]

Number of ones in base plastic canonical representation up too 200:


1, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 5, 5, 6,
6, 6, 6, 7, 5, 5,\
 6, 6, 6, 6, 6, 6, 7, 5, 6, 7, 7, 7, 8, 7, 6, 7, 8, 7, 7, 8, 6, 7, 7, 7, 7,
6, 6, 6, 7, 6, 7\
, 8, 6, 7, 8, 7, 5, 6, 6, 5, 5, 6, 7, 7, 6, 6, 6, 7, 7, 6, 7, 7, 7, 6, 7,
7, 8, 8, 5, 6, 7, \
7, 7, 7, 6, 6, 6, 6, 5, 6, 6, 6, 7, 7, 8, 7, 7, 7, 7, 7, 5, 6, 7, 8, 9, 9,
8, 9, 7, 7, 8, 7,\
 7, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 6, 7, 7, 7, 7, 8, 6, 6, 7, 8, 8, 8, 8,
7, 8, 8, 8, 8, 8\
, 9, 8, 9, 6, 7, 8, 7, 7, 8, 9, 9, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7,
7, 6, 7, 8, 7, 7, \
8, 9, 9, 7, 7, 8, 8, 8, 8, 9, 8, 8, 7, 7, 7



On Wed, Jul 10, 2013 at 10:32 PM, Allan Wechsler <acwacw at gmail.com> wrote:

>  1 = 1.
>  2 = 100.00001
>  3 = 1000.01000001
>  4 = 10000.1000001000001
>  5 = 100000.1000001000001
>  6 = 1000000.0100000000001
>  7 = 1000010.0000100000001
>  8 = 10000000.100000001000000001
>  9 = 10000100.000000001000000001
> 10 = 100000000.001000001000000001
>
> Number of 1's in canonical representation: [1, 2, 3, 4, 4, 3, 4, 4, 4, 4],
> assuming that my hand calculations are accurate.  This sequence is not in
> OEIS.
>
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