>>13986980>Can a pattern be derived?Yes, "a" pattern can always be derived.
If the sequence starts out as "3,2,4", as your sequence sequence, then the four term polynomial
f(n) = 3*(n-2)*(n-3)*(n-4)/((1-2)(1-3)(1-4)) + 2*(n-1)*(n-3)*(n-4)/((2-1
)(2-3)(2-4)) + 4*(n-1)*(n-2)*(n-4)/ ((3-1)(3-2)(3-4)) + C *(n-1)*(n-2)*(n-3)/((4-1)
(4-2)(4-3))
takes values
3, 2, 4, C
(C is in the last term)
I.e. you just define a polynomial which is forced to be zero everywhere except n0, and for n=n0 you specify the value you want.
So you can force any finite segment of any sequence with a polynomial of that order
