A349203 - OEIS

%I #12 Jan 15 2025 06:49:09

%S 1,1,1,2,1,2,3,1,1,3,12,3,2,3,12,10,2,1,1,2,10,60,10,4,3,4,10,60,105,

%T 15,5,3,3,5,15,105,280,35,10,5,4,5,10,35,280,252,28,7,3,2,2,3,7,28,

%U 252,2520,252,56,21,12,10,12,21,56,252,2520

%N Triangle read by rows, T(n, k) = (lcm_{k=0..n} binomial(n, k)) / binomial(n, k).

%e Triangle starts:

%e [0]   1;

%e [1]   1,  1;

%e [2]   2,  1,  2;

%e [3]   3,  1,  1, 3;

%e [4]  12,  3,  2, 3, 12;

%e [5]  10,  2,  1, 1,  2, 10;

%e [6]  60, 10,  4, 3,  4, 10, 60;

%e [7] 105, 15,  5, 3,  3,  5, 15, 105;

%e [8] 280, 35, 10, 5,  4,  5, 10,  35, 280;

%e [9] 252, 28,  7, 3,  2,  2,  3,   7,  28, 252;

%p b := n -> ilcm(seq(binomial(n, k), k=0..n)):

%p A349203 := (n, k) -> b(n)/binomial(n, k):

%p seq(seq(A349203(n, k), k = 0..n), n = 0..11);

%Y Cf. A007318, A347563, A025533 (row sums), A002944 (column 0 and main diagonal).

%K nonn,tabl

%O 0,4

%A _Peter Luschny_, Nov 13 2021