%I #14 Jul 05 2013 05:19:04

%S 0,8,8,24,4,40,24,56,16,72,40,88,6,104,56,120,32,136,72,152,20,168,88,

%T 184,48,200,104,216,7,232,120,248,64,264,136,280,36,296,152,312,80,

%U 328,168,344,22,360,184,376,96,392,200,408,52,424,216

%N Numerators of harmonic mean H(n,4), n >= 0.

%C a(n) = numerator(H(n,4)) = numerator(8*n/(n+4)), n>=0, with H(n,4) the harmonic mean of n and 4.

%C The corresponding denominators are given in A000265(n+4), n >= 0.

%C a(n+4), n>=0, is the fourth column (m=4) of the triangle A227041.

%F a(n) = numerator(8*n/(n+4)), n >= 0.

%F a(n) = 8*n/gcd(n+4,8*n) = 8*n/gcd(n+4,32), n >= 0.

%e The rationals H(n,4) begin: 0, 8/5, 8/3, 24/7, 4, 40/9, 24/5, 56/11, 16/3, 72/13, 40/7, 88/15, 6, 104/17, 56/9, 120/19, ...

%Y Cf. A227041(n+4,4), A227140(n+8) (denominators), n >= 0.

%K nonn,frac,easy

%O 0,2

%A _Wolfdieter Lang_, Jul 01 2013