A048485 a(n) = floor(n/2) - A048475(n).

0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 3, 3, 3, 0, 3, 1, 1, 0, 1, 1, 0, 0, 4, 3, 3, 3, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 3, 0, 0, 0, 1, 1, 5, 3, 4, 4, 3, 5, 0, 0, 8, 1, 7, 8, 2, 11, 1, 4, 4, 10, 3, 6, 11, 7, 7, 6, 6, 5, 4, 4, 7, 3, 2, 2, 5, 1, 0, 0, 0, 3, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 3, 3

Offset: 1

Author

Labos Elemer

Keywords

• nonn
• look

Examples

			If n=51 then the number of divisors of the central binomial coefficient binomial(51,25) is 4608, while the maximal number of divisors of binomial(51,k) is 6144, which appears first at k=24; thus the deviation a(51) = |25-24| = 1 is small.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..4000

Crossrefs

Cf. A000005, A001405, A034974, A048275.

Programs

Mathematica

a[n_] := Block[{d = DivisorSigma[0, Binomial[n, Range[0, n/2]]]}, Floor[n/2] - Position[d, Max[d], 1, 1][[1, 1]] + 1]; Array[a, 100] (* Giovanni Resta, May 14 2018 *)