16, ?, 19, ?, ?, 15, 16, 9, ?, ?, 14, ?, ?, ?, ?, 1
According to my measure, this sequence is more original than that of Fibonacci.
Replace the question marks with the missing numbers.
Perhaps the sequence goes like this
16, 9, 19, 1, 14, 15, 16, 9, 19, 1, 14, 15, 16, 9, 19, 1, 14, 15, ...
the A1Z26 translation of "PISANO" repeated over and over. (Fibonacci, mentioned for no other obvious reason in the question, would originally have been called Leonardo Pisano; "Fibonacci" was a nickname.)
I confess that I don't know
why "measure" is italicized in the question if this is the intended answer.
OP indicates in comments that the above is the right sequence but that I haven't understood exactly why it's the right sequence. Perhaps some other association of the name "Pisano" is relevant. A now-deleted comment from OP said something like "Measure = modulus", which to me is rather a stretch, but it suggests that perhaps OP had in mind the "Pisano periods", named after Leonardo Pisano = Fibonacci; this is the sequence of periods with which the Fibonacci sequence mod n repeats. (So e.g. the 7th Pisano period turns out to be 16 because when you do the Fibonacci thing mod 7 you get a repeating sequence of length 16.) But if this is what's intended then (1) the measure/modulus thing seems like a big stretch because the only context in which they mean at all the same thing is quite different and (2) I don't understand why "original" is italicized. There are some architects called Pisano (possibly including the person who designed the famous Leaning Tower), and it's in architecture that "measure" and "modulus" have related meanings, but again I don't then see what the italics on "original" are for. There are some other Pisanos but none that seems more obviously the intended one.