Eric numbers

[Eric Angelini]

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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