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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