A328184 -id:A328184 - cp's OEIS frontend

A328185 Numerators associated with A328184.

1, 3, 7, 5, 11, 7, 5, 9, 19, 11, 23, 13, 9, 15, 31, 17, 35, 19, 13, 21, 43, 23, 47, 25, 17, 27, 55, 29, 59, 31, 21, 33, 67, 35, 71, 37, 25, 39, 79, 41, 83, 43, 29, 45, 91, 47, 95, 49, 33, 51, 103, 53, 107, 55, 37, 57, 115, 59, 119, 61, 41, 63, 127, 65, 131, 67

Offset: 3

Luca Alexander, Oct 06 2019

Geometric Interpretation: Given n-sided regular polygon "rolling" on a flat surface with constant angular velocity, a(n) is the numerator of the ratio:
[("time" taken for any one vertex to move from highest point to lowest point) / ("time" taken for polygon to finish one complete turn)] := b(n).
Lim_{n->infinity} b(n) = 1/2 (can be easily proven).

			For n = 3, a(3) = numerator of ((2*3-3)/4*n) = numerator of (3/12) = numerator of (1/4) = 1.

Luca Alexander, about 100000 terms

Cf. A328184 (denominators).

Array[Numerator[(2 (# - 1) - Mod[#, 2])/(4 #)] &, 66, 3] (* Michael De Vlieger, Oct 06 2019 *)

a(n) = {numerator((2*(n-1) - n%2)/(4*n))} \\ Andrew Howroyd, Oct 06 2019

a(n) = numerator((n - 1) / (2*n)) for even n; a(n) = numerator((2*n - 3) / (4*n)) for odd n.

cp's OEIS Frontend

A328185 Numerators associated with A328184.

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