Largest difference between increasing prime divisors of binomial(2n,n).

1, 3, 3, 4, 4, 8, 6, 6, 9, 6, 6, 10, 12, 12, 12, 8, 8, 12, 10, 10, 10, 16, 16, 16, 12, 12, 12, 12, 12, 18, 18, 18, 18, 14, 14, 18, 18, 18, 18, 20, 20, 24, 18, 18, 18, 22, 22, 22, 22, 22, 22, 28, 28, 28, 22, 26, 22, 24, 24, 30, 26, 26, 26, 24, 24, 28, 28, 28, 28

2

This differs from S000726 only at the terms for n = 10, 14, 15, 16, and 57.

T. D. Noe, Plot of 999 terms

T. D. Noe, Table of 999 terms

Wikipedia, Central binomial coefficient

(Mma) Table[f = Transpose[FactorInteger[Binomial[2*n, n]]][[1]]; Max[Differences[f]], {n, 2, 100}]

Cf. S000726.

nonn

T. D. Noe, Oct 16 2015