x/y, (x+1)/y, (x+2)/y, ..., (x+z)/y
one could say in this sequence of fractions the numerators goes through z-1 consecutive numbers.
Consider the sequence
(x choose y), (x+1 choose y), (x+2 choose y),...,(x+z choose y)
one could say in this sequence of binomial coefficients the top-part goes through z-1 consecutive numbers.
Is there a better way to say this? That is, is there a term for the top-part of a binomial coefficient? Or for that matter the bottom part? I have not been able to find one on the web. Hence I propose a contest:
- Leave as a comment a proposed name for the top-part and for the bottom-part of a binomial coefficient.
- If you find a website that has some official name, leave that as a comment.