A119994 & others: Fixed point of the morphism,

[N. J. A. Sloane]

Zak,  think of the map phi given by  a -> {a, a + 1, Prime(a + 1)}

let it act on infinite words

the 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,...
is the beginning of a fixed word, no?

Neil

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