login
Occurrences of most frequently occurring number in 1-to-n 4-dimensional multiplication table.
4

%I #9 Jan 15 2019 10:00:39

%S 1,6,12,28,36,60,60,96,132,180,180,276,276,276,396,468,468,576,576,

%T 756,864,864,864,1032,1032,1032,1096,1320,1320,1644,1644,1740,1740,

%U 1740,2052,2328,2328,2328,2328,2652,2652,3252,3252,3252,3672,3672,3672,4080,4080,4080

%N Occurrences of most frequently occurring number in 1-to-n 4-dimensional multiplication table.

%e M(n) is the array in which m(x,y,z,t)=x*y*z*t for x = 1 to n, y = 1 to n, z = 1 to n and t = 1 to n. In M(7) the most frequently occurring numbers are 60, 72, 84, 120 and 168. They occur 60 times, so a(7) = 60.

%Y Cf. A057142, A057338, A057342, A057343, A057344.

%K nonn

%O 1,2

%A _Neil Fernandez_, Aug 28 2000

%E a(16)-a(50) from _Charlie Neder_, Jan 15 2019