Eric numbers

David Wilson davidwwilson at comcast.net
Wed Jun 1 08:22:53 CEST 2005


90 is not in there?

----- 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 7:37 AM
Subject: Re: Eric numbers


> 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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