Eric numbers

zak seidov zakseidov at yahoo.com
Tue May 31 13:37:03 CEST 2005


OK, it's more simple:
Eric's < 500
0,1,2,3,4,5,6,7,8,9,12,18,21,24,27,36,42,45,48,54,
63,72,81,84,102,108,111,112,114,117,126,132,133,135,
144,152,153,156,162,171,192,195,198,201,204,207,209,
216,222,224,225,228,234,243,247,252,261,264,266,285,
288,306,308,312,315,322,324,333,336,342,351,364,372,375,378,392,396,399,402,405,407,408,414,423,432,441,444,448,465,468,476,481,486

I suggest you submit this (jointly) to Neil,
Zak


--- Eric Angelini <keynews.tv at skynet.be> wrote:
> Tanx Zak,
> I'm trying to understand yr notation... I'm quite
> slow when I'm hungry (13:07 in Brussels, Belgium)
> Best,
> E.
> 
> ----- Original Message ----- 
> From: "zak seidov" <zakseidov at yahoo.com>
> To: "Eric Angelini" <keynews.tv at skynet.be>;
> <seqfan at ext.jussieu.fr>
> Sent: Tuesday, May 31, 2005 12:55 PM
> Subject: Re: Eric numbers
> 
> 
> > 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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> >
> >
> 
> 
> 


		
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