Eric numbers

[zak seidov]

Eric,
1) for seed = 0,
Eric0's = numbers which are divisible by sum of their
digits,
for seed = k,
Erick's =  numbers n such that (n-k) is divisible by
sum of digits of n,

strange if at least Eric0's are not in EIS.

2) i missed numbers 10,20,30, etc
(may be some more?)
due to trivial error in a code

Zak

--- zak seidov <zakseidov at yahoo.com> wrote:

> 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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