Eric numbers

[zak seidov]

Here are Eric's <100
with generating sequences
(for 2d Eric's, each 2nd terms of seqs are given )
{0,0}  0
{0,1}  1
{0,2}  2
{0,3}  3
{0,4}  4
{0,5}  5
{0,6}  6
{0,7}  7
{0,8}  8
{0,9}  9
{0,3,6,9,12} 1 2
{0,9,18}  18
{0,3,6,9,12,15,18,21}  21
{0,6,12,18,24}  24
{0,9,18,27}  27
{0,9,18,27,36}  36
{0,6,12,18,24,30,36,42}  42
{0,9,18,27,36,45}  45
{0,12,24,36,48}  48
{0,9,18,27,36,45,54}  54
{0,9,18,27,36,45,54,63}  63
{0,9,18,27,36,45,54,63,72}  72
{0,9,18,27,36,45,54,63,72,81}  81
{0,12,24,36,48,60,72,84}  84

Enjoy,
Zak
--- Eric Angelini <keynews.tv at skynet.be> wrote:
> Let me show you an ╚ Eric ╩ number
(sorry for the
> self-reference -- the idea came from the Keith
> numbers) :
> 
> 135 is an Eric number because, starting from 0, we
> can
> build a sequence containing 135 :
> 
> 0 1 4 9 10 13 18 19 22 27 28 31 36 ... 126 127 130
> 135
>  1 3 5 1  3  5  1  3  5  1  3  5          1   3   5
> 
> I searched by hand the first such numbers and found
> :
> 
> 0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,20,21,22,24...
> 
> ... which is not in the OEIS.
> 
> Could someone check, extend and submit this?
> 
> Those numbers could be designed as Eric-0 numbers
> be-
> cause the initial "seed" is 0. Other seeds will
> produce
> other Eric numbers, like 203, which is an Eric-1
> number:
> 
> 1 3 3 6 8 8 11 13 13 16 18 18 21 ... 196 198 198 201
> 203
>  2 0 3 2 0 3  2  0  3  2  0  3          2   0   3  
> 2
> 
> Self-Eric numbers have their sequence starting with
> the
> digit their seed forms (the "overlined" digits in
> the
> example below). 61 is a self-Eric number:
> _ _
> 6 12 13 19 20 26 27 33 34 40 41 47 48 54 55 61
>  6  1  6  1  6  1  6  1  6  1  6  1  6  1  6
> 
> Could someone find more?
> 
> Best,
> и.
> 
> 
> 
> 
> 
> 
> 


		
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