Eric numbers

Eric Angelini keynews.tv at skynet.be
Tue May 31 12:14:00 CEST 2005


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,
É.











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