A119994 & others: Fixed point of the morphism,
zak seidov
zakseidov at yahoo.com
Sat Aug 5 22:37:33 CEST 2006
Neil, Bob, seqfans,
In several his sequences,
Bob call them "Fixed point of the morphism",
while actually
there is no fixed point of these norphisms:
we may say that a given (initial) part of the sequence
will not change in next steps.
Of course, Bob knows it,
but then why not to clarify definition, right?
Sorry, if I'm missing something,
thanks, Zak
one example:
%I A119994
%S A119994
0,1,2,1,2,3,2,3,5,1,2,3,2,3,5,3,4,7,2,3,5,3,4,7,5,6,13,1,2,3,2,3,5,3,4,
<skip>
%N A119994 Fixed point of the morphism, a -> {a, a +
1, Prime(a + 1)}, beginning with 0.
%C A119994 First occurrance of k: 1, 2, 3, 6, 17, 9,
26, 18, 53, 158, 473, 51, 152, 27, 80, 239, 716, 78,
233, 54, 161, 482, 1445, 159, 476, 1427, ..., .
%t A119994 Nest[ Flatten[ #1 /. a_Integer -> {a, a +
1, Prime[a + 1]}] &, {0}, 5]
%K A119994 nonn,new
%O A119994 0,3
%A A119994 Robert G. Wilson v (rgwv(AT)rgwv.com), Aug
02 2006
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