RE all-base composites
Tautócrona
tautocrona at terra.es
Wed Sep 13 01:17:46 CEST 2006
----- Original Message -----
From: <franktaw at netscape.net>
>Actually, you would even get a different sequence of *numerals*. For
>example, in base 2,
>you would get the numerals:
>100, 110, 1000, 1001, 1010, 1100, 1110, 1111, 10000, 10010, 10100,
>10101, 10110, 11000, 11010, ...
>which would be the sequence of numbers:
>4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, ...
Yes, you are right again! And if I'm thinking it well (which I doubt by now :P), then the
base 2 seq is the "fundamental" one because the seq in any other base can be seen as a
subset of the fundamental (i.e., if the number N is in the seq for a base B, then the
binary representation of N is in the fundamental seq). I would add the base 2 seq instead
of the base 10 one, or at least I would contribute both of them! The complementary seq
1,2,3,5,7,11,13,17,19,23,25... could be nice too.
Jose
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