[go: up one dir, main page]

login
Triangle T(n,k) = k*sigma(n) if k divides n, else 0.
1

%I #9 Sep 18 2022 19:15:53

%S 1,3,6,4,0,12,7,14,0,28,6,0,0,0,30,12,24,36,0,0,72,8,0,0,0,0,0,56,15,

%T 30,0,60,0,0,0,120,13,0,39,0,0,0,0,0,117,18,36,0,0,90,0,0,0,0,180,12,

%U 0,0,0,0,0,0,0,0,0,132,28,56,84,112,0,168,0,0,0,0,0,336

%N Triangle T(n,k) = k*sigma(n) if k divides n, else 0.

%F T(n,k) = Sum_{j=k..n} A130208(n,j)*A127093(j,k), product of the two infinite lower triangular matrices.

%F T(n,1) = A000203(n).

%F T(n,n) = A064987(n).

%e First few rows of the triangle are:

%e 1;

%e 3, 6;

%e 4, 0, 12;

%e 7, 14, 0, 28;

%e 6, 0, 0, 0, 30;

%e 12, 24, 36, 0, 0, 72;

%e ...

%Y Cf. A127093, A127573, A064987, A000203, A072861 (row sums).

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Jan 19 2007