In "The Special and General Theory of Relativity" Einstein says:
How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality? Is human reason, then, without experience, merely by taking thought, able to fathom the properties of real things. In my opinion the answer to this question is, briefly, this: As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.
"Geometry and Experience" An expanded form of an Address to the Prussian Academy of Sciences in Berlin on January 27th, 1921.
Does emerge of "Universal Sequence" violate above statement?
U-Sequence has no wiki page to cite so here is up to period 6 of this sequence:
1, 2, 4 6, 5, 3 6, 5, 6 4, 6 5, 6