[seqfan] Self-Parity/Antiparity Sequences & Numbers
Eric Angelini
Eric.Angelini at kntv.be
Tue Oct 27 15:35:08 CET 2009
Hello SeqFans,
321 is a "self-parity number".
Its first digit, 3, says: - the 3rd digit has my parity
(which is true, "1" is odd as "3" is)
Its second digit, 2, says: - the 2nd digit has my parity
(which is true, "2" and "2" are even)
Its third digit, 1, says: - the 1st digit has my parity
(which is true, "3" is odd as "1" is)
A "self-parity number" is a number whose digit 'speak' and assert
true statements about their parity.
The sequence of such self-parity numbers seems to start like this:
S = 1, 11, 12, 22, 111, 113, 121, 122, 123, 131, 133, 222, 311, 313,
321, 323, 331, 333, 1111, 1113, 1131, ...
(this is not http://www.research.att.com/~njas/sequences/A105945)
Could someone please check and compute a hundred terms more or so?
__________
More on the same topic, here:
http://www.cetteadressecomportecinquantesignes.com/ParitySeq.htm
The last seq on the above page is a nightmare to compute by hand :-(
Best,
É.
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