[seqfan] A135282: We can go ahead and change "seems" to "is known"
Alonso Del Arte
alonso.delarte at gmail.com
Mon Aug 16 00:58:09 CEST 2010
"It seems all terms are even,unless n is odd power of 2"
Besides punctuation, I think we can also go ahead and change "seems" to "is
known that." If you'll forgive the use of the equals sign as a congruence
sign,
2 = -1 mod 3
2 * 2 = -1 * -1 = 1 mod 3
Therefore, only even-indexed powers of 2 are congruent to 1 mod 3 and thus
reachable by either a halving step or a "tripling step," whereas the
odd-indexed powers of 2 are only reachable by a halving step—or as an
initial value.
Al
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